Preheat oven to 425°F. Grease a deep 13 x 9-inch baking dish or spray with nonstick cooking spray. Add the uncooked pasta, thawed meatballs, and drained diced tomatoes to the prepared dish. Toss gently to combine.
In a large bowl, whisk together the marinara sauce, Alfredo sauce, chicken broth, kosher salt, dried basil, garlic powder, and black pepper. Pour the sauce mixture into the dish and gently stir so that the dry ingredients are completely combined with the sauce.
Cover the dish tightly with aluminum foil. Bake until the pasta is al dente, about 40-45 minutes. Remove the foil and stir the pasta in the dish. If the pasta is not al dente after 40 minutes, cover the dish and return it to the oven for 5-10 more minutes, or until done. Sprinkle mozzarella cheese and Parmesan cheese over top.
Return to the oven and bake, uncovered, for a few more minutes, until the pasta is tender and the cheese melts. Garnish with fresh basil or other fresh herbs, and serve.