How to Make It
In a medium bowl, mix together the ground beef, 4 tablespoons of the parsley, the Parmesan, raisins, bread crumbs, egg, half of the garlic, 1/2 teaspoon of the salt, and 1/4 teaspoon of the pepper until thoroughly combined. Shape the mixture into 24 meatballs.
In a large pot, heat the oil over moderate heat. Add the carrots, onion, celery, and the remaining garlic and cook, stirring occasionally, until the vegetables start to soften, about 5 minutes. Add the zucchini and cook, stirring occasionally, for 5 minutes. Stir in the broth, tomatoes, rosemary, and the remaining 2 teaspoons salt. Bring to a boil. Reduce the heat and simmer, partially covered, for 10 minutes.
Add the remaining tablespoon parsley, 1/4 teaspoon pepper, and the pasta to the soup. Simmer for 5 minutes. Stir in the meatballs and simmer gently until the meatballs and pasta are done, about 5 minutes longer. Serve with additional Parmesan.