Place cheeses into the Thermomix bowl and mill 10 sec/speed 10. Set aside.
Place onion, garlic and EVOO into the Thermomix bowl and chop 3 sec/speed 5. Cook 5 min/Varoma/speed 1/MC off.
Add remaining ingredients, including the grated cheeses and combine 10 sec/speed 4.
Preheat frying pan over medium heat.
Divide flat bread dough into 12 equal portions. Roll each one out into a large flat circle.
Place some of the cheese mixture onto each round.
Fold over into a half moon shape.
Without sealing edges, fry both sides in hot oil.
Serve cut into wedges with extra chopped herbs and lemon wedges. Mint and parsley are nice with this recipe.