Usually when I make flatbread, I roll-in seasonings (ie: minced garlic and celery) before cooking. There doesn't seem to be a problem with the dough being too wet or doughy if I only use about a teaspoon of seasoning per ball, and only roll the seasoning into the dough once or twice.
The rolled-in seasonings are my favorite part about flatbread- I prefer the thickness and fluffiness of pita much more. I tried combining the two by using my favorite pita recipe and rolling in seasonings before cooking. This completely changed the texture of my pita, and ended up a doughy mess (ie: it was slimy while cooking and tasted too wet after coming off the skillet- pockets did not form at all).
Has anyone tried this with different results, or found a way to successfully add seasonings into pita dough with real pita bread results? Or is it a lost cause? I'm wondering why it continually works with flatbread dough but not with pita.