In several large stockpots, combine the first seven ingredients. Add water to cover. Add tomato sauce and broth.
In several other large stockpots, cook the beef, turkey and onions until meat is no longer pink; drain. Add to vegetable mixture. Stir in salt, basil and pepper; bring to a boil. Reduce heat; cover and simmer for 1-1/2 hours or until celery is tender.