Place soup bones and water in a stockpot; bring to a boil. Reduce heat and simmer, uncovered, for 40-45 minutes.
Skim off fat. Add the cabbage, potatoes, carrots, tomatoes, onion, parsley, dill, salt and pepper. Place aniseed on a double thickness of cheesecloth; bring up corners of cloth and tie with string to form a bag. Add to stockpot. Simmer, uncovered, for 2-1/2 to 3 hours.
Remove meat from soup bones; discard bones and add meat to soup. Stir in zucchini and beets. Simmer 15-20 minutes longer or until zucchini is tender. Remove spice bag before serving.