Make the dough according to the recipe and let it rise covered for 60 - 90 minutes. (but do not bake yet, just prepare the dough!).
Mix the za'atar with the olive oil and chopped onion to make a liquid dip.
After the dough has doubled in size, divide it into a corresponding number of equal pieces and shape them into small balls. Then leave to rest under a damp kitchen towel for another 10 minutes.
Preheat the oven to 250 °C top and bottom heat. (If you have a pizza stone, preheat it on the lowest shelf).
Line baking trays with baking paper. Or use a pizza stone.
Roll the dough balls round with a rolling pin and press many small depressions into the dough with your fingertips.
Spread a thin layer of the zatar oil mixture on the patties.
Bake the manakish for about 4 - 5 minutes in the lower part of the oven.
Notes
If you want to go really authentic, get a manakish oven or bake the flatbreads on a pizza stone.