Learn English – “Western” vs “West”

Interesting questions, and I believe the answer to both of them is no. As FumbleFingers points out, I can't establish this with certainty, but I will undertake to explain why I believe this is so.

I took some time to read over a number of passages that use the term evolutive. In the examples I have examined, the term refers in all cases (leaving out several which are direct translations of the Spanish evolutivo) to the study, science, idea, or application of evolution as distinct from evolution itself. So you could say that the term adds one level of abstraction to the term evolutionary. Here is one example:

Software systems are conceived by developers in an iterative, recursive, and evolutive way. [1]

This means that developers conceive of software in iterations (one pass, then another pass that goes a bit deeper, and so on), going back through to correct things as they go (recursive), and that the conception of the software evolves over time as the designer's understanding of the problem domain (the problem that your software is going to solve) deepens.

Here's another:

Among the methods of interpretation employed in practice and doctrine are the textual, autonomous, teleological, evolutive or dynamic, and historic...Under the evolutive or dynamic school, the international authorities interpret the Convention in light of the current societal circumstances, secondarily incorporating the intentions of the framers of the document, which were shaped by an earlier and different societal context (historic method). [1]

In other words, if you use the evolutive method of interpretation, you believe that the interpretation of the Convention evolves over time. If you use the historic method of interpretation, you believe that it (the interpretation of the Convention) does not. (Interestingly, there are analogous schools of thought in Constitutional Law, regarding how the U. S. Constitution ought to be interpreted.)

Now, it would be ok to substitute the word "evolutionary" in these passages, but the term isn't quite as precise: evolutionary can (and very often does) refer either to the science or study of evolution or to evolution itself. For example, here are two books:

Objective Knowledge: An Evolutionary Approach
Evolutionary Dynamics: Exploring the Interplay of Selection, Accident, Neutrality and Function

The first book is a series of essays arguing that objective knowledge evolves over time, so it is applying the idea of evolution to the idea of objective knowledge. It is obvious from context that it is not the approach that evolves, but objective knowledge. The second is a book about the dynamics of evolution.

Now, you could use the term "evolutive" in the first title (although it might sound a bit pretentious, since the meaning is obvious when you use the more common word), but the evidence suggests that it wouldn't be correct to use it in the second title since here the word is referring to evolution itself, or the dynamics thereof.

So, if you accept my assessment of the word's meaning, then the answer to your question is no, it is not a correct option. Your sentence is referring to a short period in terms of evolution itself, not in terms of the study, science, application, or idea of evolution. :)

I appreciate your raising this intriguing question that has some important implications for how or why a particular expression or construction is considered grammatical. Merriam-Webster dictionary clearly gives the example "requested her to write a paper" under the transitive verb definition of 'request' at https://www.merriam-webster.com/dictionary/request (scroll down past the extensive 'noun' definition to read) so the form 'request someone to do something' is definitely grammatical from a technical perspective.

However, it is no longer a popular usage: according to google ngrams, the popularity of both "request you to" and "request that you" peaked around the year 1830 and declined steadily thereafter. As you rightly noted yourself, "request you to" enjoyed a brief resurgence peaking around 1970 but both expressions became progressively unpopular (rarely used) in the last quarter of the 20th century, indicating that such extremely formal language has lost favor in English all aroung the world, although "request that you" is marginally ahead at the turn of the millennium:

That is not to say that such expressions are equally outdated everywhere. Based on the answers to a number of related questions on ELU and ELL, typical patterns and frequency of use seem to differ between dialects such that "request someone to do something" is more common in Indian English and "request that someone do something" is more typically used in the USA.

The extensive explanations of senior member @tchrist both in comments here and in an updated answer on ELU present a convincing argument (supported by ngrams) that the construction "request someone to do something" has become obsolete in modern American English. As regards British English,

If you swap American for British you can see what's happened: it has not receded quite as much in British writers as it has in American ones. This might be because British don't use mandative subjunctive as much as we do [...] - tchrist see full comment here

If "grammatical" is defined as "the way native speakers are using the language now" then the extreme rarity of such usage in the case of 'request someone to do something' might well lead it to be considered ungrammatical by speakers of American English. Whereas the same form is so commonly and typically used in Indian English that as an Indian I find it extremely natural to the formal register, and unquestionably grammatical.

As a transitive verb, "request" can take an object in multiple ways.

(1) Ask for something:

She requested a room with a view.

The librarian requested perfect silence.

Here "request" literally means "ask for" in a formal/polite sense. Whatever is being asked for is the object of "request."

(2) Ask for something from someone:

May I request your attention.

He requested the students' attention.

Here somebody is being asked politely for something but the object of 'request' is still "attention."

(3) Ask someone to give you something:

"May I request you to give me your passport", the customs officer said. _{(Same basic meaning as "may I request your passport" but this is not really a request but a command, and 'may I' is used simply for politeness here. Based on user feedback in comments, most Americans would prefer "may I request that you show me your passport" as the most politely formal construction. )}

He requested the students to give him their attention.

Here the object of 'request' is "students"; the students are being asked to give him something, and the object of 'give' is "attention." However, he is essentially asking for their attention and this is just another way of writing "He requested the students' attention."

(4) Ask someone to do something:

He requested the guests to leave their cars at the gate.

Here the object is 'the guests' and he is requesting them to do something. This can be rewritten in passive voice as

The guests were requested to leave their cars at the gate.

Whereas the alternative form "request that" sees 'request' used with the conjunction 'that' which connects it to the clause that follows:

He requested that the students give him their attention.

May I request that you bring your own dinner.

He requested that the guests leave their cars at the gate.

The host requested that cars be left at the gate.

Both these forms of 'request' are nicely described at Collins Dictionary online:

Request [verb]

1. If you request something, you ask for it politely or formally.

Mr Dennis said he had requested access to a telephone.

She had requested that the door to her room be left open.

2. If you request someone to do something, you politely or formally ask them to do it.

Students are requested to park at the rear of the Department.

They requested him to leave.

Source: https://www.collinsdictionary.com/dictionary/english/request

Note: both "may I" and "request" as used in these examples are politely formal ways of asking for something, or asking someone to do something. In this type of usage a question mark is not necessary even though the sentence begins with "may I."