Add the beef and pork to a Dutch oven. Break apart to begin cooking.
Add the peppers, onion, and garlic to the meat. Stir to combine. Add the chili powders and seasonings. Continue to cook until the meat is fully cooked.
Pour the canned tomatoes and chiles and fire-roasted tomatoes into the meat. Stir in the tomato paste and beer.
Let simmer for 20 minutes or more. Then let set for 20 minutes before serving.
Garnish the chili with the Texas toast, shredded cheese, onions, and sour cream.