In a 13 x 9-inch (33 x 23 cm) baking dish, spread 1 cup (250 ml) of the tomato sauce and cover with a layer of noodles. Top with the eggplant and spinach. Add 1 cup (250 ml) of tomato sauce and half of the béchamel. Sprinkle with 3/4 cup of the mozzarella and cover with a layer of noodles. Spread 1 cup (250 ml) of the tomato sauce, top with the zucchini and bell peppers and the remaining béchamel. Cover with a final layer of noodles, the remaining tomato sauce and the remaining cheese. Cover the entire surface with the raw zucchini ribbons, in a woven pattern if desired. Sprinkle with the Parmesan.