Place lamb chops into a roasting pan; season with sugar, sliced garlic, garlic powder, chili powder, salt, and black pepper. Drizzle with olive oil, 1 tablespoon lime juice, and soy sauce. Cover pan; refrigerate overnight.

Preheat the oven to 400 degrees F (200 degrees C). Let lamb stand at room temperature while the oven preheats.

Roast in the preheated oven, uncovered, until desired degree of doneness, about 20 minutes for medium, or 30 minutes for well-done. Sprinkle with cilantro and squeeze lemon and lime juice over top before serving.