Preheat oven to 350°. Cook pasta according to package directions. Meanwhile, in a large saucepan, heat oil over medium heat. Add chicken, onion, peppers and seasonings; saute until chicken is no longer pink. Add garlic; cook 1 minute longer., In a blender, pulse tomatoes and tomato paste, covered, until blended. Add to chicken mixture. Stir in broth; bring to a boil over medium-high heat. Reduce heat; cover and simmer until slightly thickened, 10-15 minutes. , Drain pasta; toss with chicken mixture. Spoon half of the mixture into a greased 2-qt. baking dish. Sprinkle with half of the cheeses. Repeat layers. , Cover and bake 30 minutes. Uncover; bake until heated through, 15-20 minutes longer.