Baking – Can one bake a cake with a cooked egg instead of a raw one

Some tips:

Moon Cakes take lots of time. especially the dough for the shell. It's best if it sits in the fridge (wrapped, of course) for 24 - 36 hours before working, then is kneaded well to make it flexible before stretching. See these instructions from houseofannie.com. She's got it down. Note, in particular, the tips at the bottom for first-timers. Also note that her dough recipe is a little different from the one you used. It is possible that the recipe you used is fine, but these little cakes really benefit from practice with an experienced helper. Annie is a good substitute. Instructions webpage here: http://www.houseofannie.com/traditional-baked-mooncake-recipe/

The theory is unlikely. The interior of dough rarely gets more than a few degrees above boiling, and it usually "stalls" for a significant amount of time in the 210-212F range. The only way to go above that is to dry the dough out completely, resulting in a cracker-like consistency.

That's the reason why the crust has a different texture, color, etc. than the interior. The crust is the portion of the bread which actually reaches temperatures significantly higher than boiling. That allows other types of chemical (and thus flavor) reactions to happen, like the Maillard reaction and caramelization.

Another way to think about this is that 212F is boiling at sea level, and bread dough contains a lot of water, and the large interior "surface area" surrounding each bubble means there is a huge amount of surface area for water to evaporate. So, if you heat water to 212F, it will evaporate, and it will leave all of those interior bubble surfaces at 212F. Until the dough dries out enough to slow that moisture production significantly, the interior will maintain a temperature of roughly 212F.

Furthermore, even if you somehow did create pressure inside the dough to raise the temperature inside significantly above boiling, it would exert significant pressure on every surface of the loaf, and it would burst at any location. Achieving even a few extra degrees of temperature would require significant extra pressure to be continuously exerted on the entire exterior of the loaf. So, "deep frying the crumb" would be really difficult to achieve, and would you want that? (Think of a hushpuppy or something that's deep fried dough -- would you really want the interior to be all crustlike and dried out?)

Regarding the flip -- I've never done it, but I assume it must just be for the shape and perhaps the coloring/crust consistency. Dimpling on focaccia is done for similar reasons: on thin dough, if you have giant holes, it can create areas that might expand and become misshapen or burnt or mess up the consistency. I've never dimpled to deliberately deflate the dough or decrease oven spring. I do it to ensure a relatively consistent loaf during baking.

Focaccia can have enough oil on the surface so that it effectively does "fry" a bit, and if you have excess oil in the pan and flip it partway through the bake, you will effectively panfry the crust. If your pan isn't that oily, I'm guessing it's only about the shape. (I also don't know why you'd like to limit focaccia's oven spring -- I've gotten the most compliments on mine when I've accidentally let it rise a little too far, resulting in something that was thicker than typical but a truly amazing tender interior.)

But the interior? You can only get the "fried" texture and flavor by raising the temperature significantly above boiling and getting rid of most of the moisture. But then you end up with an interior that tastes like a cracker (i.e., all crust). If you don't get rid of the moisture but raise the pressure, you end up with something that is sticky and bagel-like, not typical desired focaccia characteristics. (Don't believe me? Try baking bread in a pressure cooker -- which requires excess steam -- and see what happens.)