Heat oven to 350 degrees F. Dip chicken in egg, then bread crumbs to coat thoroughly. In large skillet, heat oil; add chicken. Cook on both sides until lightly browned; drain on paper towels. Pour 1/2 cup sauce in 8-inch square baking dish. Layer chicken in dish; pour 3/4 cup sauce evenly over chicken. Sprinkle with cheeses. Bake 25 minutes or until bubbly. Meanwhile, cook noodles according to package directions; drain. Heat remaining sauce. Place noodles on serving platter; spoon sauce over noodles. Arrange chicken pieces on top.