Preheat oven to 375 degrees. Spray a 9x13 pan with nonstick spray.
Pour half of one jar of pasta sauce in the bottom of the pan and tilt back and forth to cover. Lay four noodles in a layer over the sauce.
In a food processor, combine tofu, ricotta, spinach, basil, garlic, pepper, and crushed red pepper until smooth.
Spread half the mixture over the noodles and then sprinkle evenly with 2/3 cup shredded cheese. Pour half a jar of pasta sauce evenly over the top.
Repeat layers: four noodles, the remaining half of the tofu mixture, 2/3 cup shredded cheese, and half a jar of pasta sauce.
Lay down another layer of noodles. Pour the remaining pasta sauce over the top. Sprinkle with the remaining cheese.
Cover tightly with foil and bake 45 minutes. Remove foil and continue baking until bubbly, another 5 minutes or so. Let rest briefly before serving, about 10 minutes.