Preheat oven to 350°F; spray a 13x9-inch baking pan with nonstick cooking spray.
Spray a large nonstick saucepan or Dutch oven with nonstick cooking spray; heat. Add the turkey, onion and garlic; cook, stirring as needed, until the turkey is browned and the onion is softened, 5-6 minutes.
Add the eggplant, tomatoes, peppers, bread crumbs, sauce and basil; bring to a boil, stirring as needed.
Transfer the turkey mixture to pan and bake, covered until the veggies are tender, 45-50 minutes; uncover and sprinkle with cheese.