Baked Ziti

Name: Baked Ziti
Prep time: 40 min
Cook time: 50 min
Total time: 1 h 30 min
Cuisine: Italian
Ingredients: 1 lb ziti noodles; 1½ lbs ground spicy or sweet Italian sausage ((or removed from casings)); 4 cloves garlic, (minced); 1 (28-oz) can crushed tomatoes; 1 teaspoon salt; 1½ teaspoons sugar; ¼ teaspoon crushed red pepper flakes; 1 cup heavy cream; 1/3 cup plus 3 tablespoons grated pecorino Romano ((or Parmigiano Reggiano cheese), divided); 1/3 cup chopped fresh basil, (plus more for serving); 8 oz whole milk mozzarella cheese, (shredded (about 2 cups))