Preparation Bring chile and cola to a simmer in a medium saucepan over medium heat; reduce heat to low and simmer 3 minutes. Whisk in garlic, ketchup, brown sugar, onion, Worcestershire sauce, allspice, salt, and pepper. Cook, stirring occasionally and adjusting heat as needed to maintain a simmer, until sauce is thick, 15–20 minutes. Let cool before using.Do ahead: Sauce can be made 2 days ahead. Transfer to an airtight container; cover and chill.