Spread half of a jar of the marinara sauce over the bottom of a 9 X 13-inch baking pan. Layer 5 sheets of the lasagna sheet so they're slightly overlapping. Dollop half of the ricotta mixture onto the lasagna sheets and evenly spread on top. Layer 4 slices of provolone over the ricotta and sprinkle with 1/2 cup mozzarella cheese. Pour another half of the jar of marinara evenly over the cheese. Layer 5 more sheets of lasagna and repeat by dolloping the rest of the ricotta mixture over the lasagna sheets and spread evenly, top with 4 more slices of provolone cheese, 1/2 cup mozzarella cheese, and then pour half of the sauce from the remaining jar of sauce over the cheese. Top with 5 more layers of the lasagna sheets and pour the remaining half of the marinara sauce over the noodles and top with the remaining slices of provolone cheese and mozzarella cheese and sprinkle with more parmesan cheese.