Schirripas Eggplant Parmigiana

Name: Schirripa's Eggplant Parmigiana
Ingredients: 1 large eggplant; 1/2 cup olive oil; 2 eggs; 1/4 cup milk; 3 cups flavored/seasoned bread crumbs; Tomato sauce, recipe follows; 1 pound fresh mozzarella cheese; 3/4 cups Pecorino Romano cheese; 3 tablespoons olive oil; 1 garlic clove, minced; 1 teaspoon water; 1 (28-ounce) can tomatoes with their juices, diced; 2 tablespoons chopped fresh basil leaves or 1/2 teaspoon dried; 1/4 teaspoon salt; 1/4 teaspoon sugar; 1 tablespoon olive oil