Preheat oven to 350 degrees F. Lightly grease a medium baking sheet.
Pour eggs into a small shallow bowl. Place bread crumbs in a separate shallow bowl. Dip chicken into egg, then into the bread crumbs. Place coated chicken on the prepared baking sheet and bake in the preheated oven for 35 to 40 minutes, or until no longer pink and juices run clear.
Pour 1/2 of the tomato sauce into a 9x13" baking dish. Place chicken over sauce, and cover with remaining sauce. Sprinkle mozzarella and Parmesan cheeses on top and return to the preheated oven for 15 minutes.