Put the flour in a shallow dish and season with salt and pepper to taste.
Lightly coat each eggplant slice on both side, and set aside.
Quickly fry each eggplant slice until browned on both sides. Don’t crowd the skillet.
Remove each slice as it is browned and place on paper towels to drain, patting tops to collect excess oil.
Repeat until all slices are browned.
Salt and pepper lightly. Place the eggplant slices over the tomatoes so they overlap a little.
Sprinkle with parsley and oregano over the slices, saving a little parsley to add just before serving.
Spread the remaining tomatoes and juice over the top.
Sprinkle the mozzarella and Parmesan cheeses all over the top.
Cover the dish with foil and bake 20 minutes.
Serve hot; though it is very tasty cold, too.