In a 5- to 6-quart Dutch oven cook beef, carrot, onion, celery, sweet pepper, and garlic over medium heat until meat is brown and vegetables are tender. Drain well; return to Dutch oven.
Stir in beef broth. Add undrained tomatoes, tomato sauce, barley, bay leaves, Worcestershire sauce, dried or snipped oregano, black pepper, and salt. Bring to boiling; reduce heat. Simmer, covered, about 20 minutes or until barley is tender. Discard bay leaves. If desired, garnish with oregano sprigs.