In a 1 1/2- to 2-quart pan, combine 3/4 cup catsup, 6 tablespoons beef broth or water, 6 tablespoons Worcestershire, 1/4 cup lemon juice, 3 tablespoons firmly packed brown sugar, 1/4 cup chopped onion, and 1 teaspoon hot sauce.
Simmer until reduced to 1 1/2 cups, about 10 minutes. Add more hot sauce to taste. Serve warm or cool. If making ahead, chill airtight up to 2 weeks.