Place the dried chile peppers in a bowl and cover with boiling water. Allow them to sit for 10 minutes until softened. Remove from the bowl, discard the water, and place the peppers on a cutting board. Cut away stems and seeds and finely chop the peppers.
In a large pot, heat the olive oil over medium-high heat. Add in the onion and garlic and cook until softened, about 5 minutes. Then add in the bell pepper and chopped chile peppers. Cook for an additional 3 minutes.
Add the beef chuck roast and ground beef to the pot. Cook for 10 minutes or until lightly browned. Then stir in the flour, chili powder, cumin, black pepper, and cayenne pepper. Cook for 3 minutes more.
Pour in the beer and beef stock and bring to a boil. Reduce heat to low and simmer for 1 hour 15 minutes or until the beef is tender.
Remove from the heat and stir in the cilantro. Serve with your favorite toppings such as cheese, sour cream, diced onions, and jalapenos.