COMBINE steak sauce, soy sauce and garlic in shallow nonmetal dish. Add steak; toss to coat. Cover; refrigerate 30 min. to marinate, stirring occasionally. Remove steak from marinade; reserve marinade.
HEAT oil in large skillet on medium-high heat. Add steak; cook and stir 3 to 4 min. or until no longer pink. Remove steak from skillet with slotted spoon; cover to keep warm.
MIX vegetables and reserved marinade in same skillet. Bring to boil. Reduce heat to medium-low; cover. Simmer 2 to 3 min. or until heated through. Add steak; mix lightly. Serve over rice.