In a large saucepan, sprayed with nonstick cooking spray, saute carrot, onion, and garlic over low heat until softened, about 5 minutes. Add broth, cabbage, beans, tomato paste, basil, oregano, and salt; bring to a boil.
Lower heat and simmer, covered about 15 minutes or until beans are tender. Stir in zucchini and heat 3-4 minutes. Serve hot.
Note: You have scaled this recipe to serve/make 16 (originally serves/makes 4). Please adjust for pan sizes, cooking times, measurements in the directions, and divided ingredients accordingly.