Preheat oven to 450°.
Combine 2 egg whites and egg in a small bowl, stirring with a whisk. Dredge 1 eggplant slice in flour. Dip in egg mixture; dredge in breadcrumbs. Repeat procedure with remaining eggplant, flour, egg mixture, and breadcrumbs. Place slices in a single layer on a baking sheet coated with cooking spray. Coat tops of slices with cooking spray. Bake at 450° for 20 minutes, turning eggplant after 10 minutes. Remove from baking sheet; cool. Reduce oven temperature to 375°.
Combine 1 cup shredded mozzarella, 3 tablespoons Parmesan, oregano, basil, ricotta, cottage cheese, and 1 egg white in a large bowl.
Spread 1/4 cup pasta sauce in the bottom of a 13 x 9-inch baking dish coated with cooking spray. Arrange 4 lasagna noodles slightly overlapping over the pasta sauce; top with half of cheese mixture, half of eggplant slices, and 3/4 cup pasta sauce. Repeat layers, ending with noodles. Spread remaining pasta sauce over noodles. Sprinkle with 1 cup mozzarella and 2 tablespoons Parmesan. Cover and bake at 375° for 15 minutes. Uncover and bake an additional 35 minutes or until cheese melts. Let stand 5 minutes.