My Boss asked me
Boss: What we can do now?
I: Simple, this time we will not Show this in Our Report.
Or
I: I suggest we don't show this in our report this time.
Which version of my answer is correct?
I just want to say that do not include this information in to report to escape from problem.
I want to use only Do not and I want to avoid following
Will not – It mean in future we will not include
Need not – It mean need of the something
Should not – It mean obligation
Best Answer
Do not is present simple and in narrative sentences is supposed to mean a constant and regular action or some mental process or state to which continuous tense is not applied. It is kind of out of place in this context. Please refer, say, to Wiki for more information or just google "present simple vs present continuous".
Now about the rest of options.
If you have already decided you do not want to show "this" in the report and want to underline this is your plan you are going to follow, you can say:
Or, if you are not quite sure yet but are inclined not to show:
Will not has a slight emphasis that the solution has just been done by you. You decide not to show this and immediately say:
however, it also mean just the mere fact we will not show this in the report. Refer to this article about differences between be doing, be going to do and will do.
As for need not and should not, you correctly described their meaning, which one to use is up to you and depends on what you want to say.
PS For further reading, you may want to learn more about the phrase to be going to, modal verbs like should, owe, must etc, as well as aspects of present continuous use with regard to the future actions.