Blend soy sauce, sugar, oil, vinegar, ginger, garlic and red pepper in bowl.
Place ribs in a 5-quart slow cooker; add sauce. Cover; cook on HIGH for 6 hours or LOW for 9 hours, until meat is tender.
Transfer ribs to a platter. Skim and discard excess fat from liquid. Combine cornstarch and 3 tablespoons water; blend with liquid in a saucepan. Bring to a boil over high heat and cook for 2 minutes, stirring, until thickened. Stir in carrots. Top ribs with sauce, scallions and sesame seeds. Serve with cooked rice.