Heat grill. Cut four 18x12-inch pieces of heavy-duty foil; spray with nonstick cooking spray. In medium bowl, combine all ingredients except seasoning sauce. Drizzle with sauce; toss gently to coat.
Divide mixture evenly onto sprayed foil pieces. Wrap each packet securely using double-fold seals, allowing room for heat expansion.
When ready to grill, place packets on gas grill over medium heat or on charcoal grill 4 to 6 inches from medium coals. Cook 15 to 20 minutes or until vegetables are tender, turning packets over once. Open packets carefully to allow steam to escape.