Classic Baked Ziti

Name: Classic Baked Ziti
Ingredients: 1 package (16 ounces ziti pasta, cooked and drained (Rotini will also work)); 1 tablespoon olive oil; 1 cup onion (finely chopped); 2 cloves garlic (minced or pressed); 4 ounces mushroomed (chopped); 1 pound ground sausage; 4 cups 32-ounces meatless spaghetti sauce; 1 cup chicken broth; 1 teaspoon dried oregano; 1 teaspoon dried thyme; 1 teaspoon dried rosemary; Salt and pepper (to taste); 3 cups shredded Mozzarella cheese (divided); 1 cup Parmesan cheese (grated)