HEAT dressing in large nonstick skillet on medium-high heat. Add chicken; cook 10 min. or until chicken is lightly browned on both sides, turning occasionally.
ADD garlic, tomatoes and tomato paste; mix well. Stir in peppers; cover. Reduce heat to medium-low; simmer 20 min. or until chicken is cooked through (165°F), stirring occasionally. Meanwhile, cook pasta as directed on package.
REMOVE skillet from heat. Add Parmesan cheese to chicken mixture; stir. Sprinkle with mozzarella cheese. Let stand 5 min. until mozzarella cheese is melted. Serve chicken and sauce over hot cooked pasta.