Preheat oven to 400ºF. Combine all kofta ingredients in large bowl and use your hands to work everything together so that the spices especially are evenly distributed.
Scoop by 1/2-cupfuls and shape into long sausage shapes. Arrange in a 9x13" baking dish and bake for 25 minutes, until browned. Meanwhile, whisk together sauce ingredients.
Flip over the kofta, and pour the sauce over top, whisking it into the accumulated juices. Continue baking another 10-15 minutes, until tops of kofta are browned and sauce is slightly thickened. Sprinkle with parsley and serve with flatbread.