Heat the olive oil in a skillet, add the onion, cinnamon, coriander, pepper flakes, and season with salt and pepper. Cook until onions are tender, about 5 minutes. Stir in the garlic and parsley and cook until garlic is fragrant, about 1 more minute. Transfer to a large bowl and let cool slightly. Stir in the chicken and yogurt until the onion are evenly mixed. Season with salt and pepper. Shape into 4 1/2-inch thick patties.
Cook in a nonstick skillet over medium heat until browned and cooked through, about 5 minutes on each side, or until an instant-read thermometer inserted into the sides of the burgers registers between 165 and 170 degrees F. Brush burgers with the pomegranate molasses and set aside to rest for 5 minutes. Serve on toasted buns with fixings.
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