In 3-quart saucepan, cook beef, onions and garlic over medium heat 8 to 10 minutes, stirring occasionally, until beef is thoroughly cooked; drain.
Stir in chili powder, oregano, cumin, salt, pepper sauce and tomatoes.
Heat to boiling over high heat. Reduce heat just enough so mixture bubbles gently. Cover; cook 1 hour, stirring occasionally.
Stir in kidney beans. Heat to boiling over high heat. Reduce heat just enough so mixture bubbles gently. Cook uncovered about 20 minutes, stirring occasionally, until desired thickness.
