In medium saucepan cook onion and garlic in hot oil until onion is tender. Stir in remaining ingredients. Bring to boiling, reduce heat. Simmer, uncovered, about 30 minutes or until desired consistency. Stirring occasionally.
To use, brush meat with some sauce during the last 10 minutes of grilling. If desired, reheat and pass additional sauce. Makes about 1 1/3 cups.