Preheat oven to 400 degrees. Bring large pot of water to a boil; salt generously. Add pasta and boil until tender but slightly firm (al dente). Drain.
In a large bowl, toss cooked pasta with marinara sauce, 1/4 cup of parmesan, the pecorino, and cubed mozzerella pieces. Season with black pepper and red pepper to taste. Mix until well combined. Transfer the pasta to an oiled 9x13 baking dish. Cover top of pasta with sliced mozzerella. Sprinkle with remaining parmesan. Bake until lightly browned and hot, about 30 minutes. Serve immediately.