In a large bowl, combine ground meat with onion, tomato, chili, parsley, garlic, baharat, cinnamon, paprika, salt, pepper, and 1 tablespoon of olive oil. Add pomegranate molasses if using.
Mix the mixture to combine. Cut the large pita rounds in half using kitchen shears and gently pull the two layers of the pita apart to create a pocket.
Add 2 tablespoons of the meat mixture to each half of pita and spread it with a back of a spoon. You want a thin layer of meat.
Grill method: Preheat the grill to medium high heat (350°F/180°C), and place the stuffed pitas directly on the grill grates and cook uncovered for 2 minutes per side.