Preheat the oven to 375°. Spray a 9-by-13-inch glass baking dish with cooking spray.
Spread 1 cup of the marinara sauce in the bottom of the prepared baking dish. Lay 3 noodles over the marinara. Spread 1/3 of the bechamel cream filling mixture evenly over the noodles. Sprinkle with bolognese sauce. Repeat with the remaining noodles, bechamel cream filling, and mozzarella cheese making 3 layers of filling and ending with pasta. Spoon the remaining marinara sauce on top and sprinkle with remaining 1/2 cup of Parmesan cheese and Mozzarella cheese. Drizzle with olive oil and cover with foil.