Preheat oven to 350°. Place turkey in a large bowl. Sprinkle with garlic, 1 teaspoon soy sauce and ginger; mix lightly but thoroughly. Shape into 1-in. balls; place in a 15x10x1-in. baking pan. Bake until cooked through, 20-25 minutes.
In a large saucepan, combine vinegar, tomato paste, molasses, pepper sauce and remaining soy sauce; cook and stir over medium heat 3-5 minutes. Add meatballs; heat through, stirring gently to coat.