Preheat oven to 400 degrees. Lightly grease a 9x13 glass baking dish.
In a medium-size mixing bowl, combine ground lamb, parsley, mint, cilantro, garlic, red wine vinegar, cumin, salt, allspice, red pepper flakes, cinnamon, and ginger. Knead together until well combined.
Form meat into 12 balls. Place in prepared pan. Bake until cooked through, approximately 25 minutes.
While the meatballs are baking, make the garlic sauce. In a small mixing bowl, whisk together greek yogurt, lemon juice, garlic, and salt until combined.
Serve meatballs hot on a pita flat bread with cucumber slices, tomato slices, red onion slices, fresh cilantro, and drizzle with garlic sauce.