In a large pot, add the onion, garlic, peppers, cinnamon stick, bay leaves, seasonings, broth, and apple cider vinegar. Simmer over medium heat for about 15 minutes, until the peppers soften.
Cut the chuck roast into large chunks and place in the crockpot.
Blend the simmered mixture until smooth (strain if needed).
Pour the sauce over the beef, making sure everything is covered. Cook on low 8 hours or high 4 hours, until the meat easily shreds. Shred and keep the meat in the broth.
Add some of the broth to a shallow dish for dipping tortillas.
Heat a skillet over medium. Dip both sides of a tortilla in the broth, lay it in the skillet, sprinkle cheese all over, add birria meat, and cook until the cheese melts. Fold and crisp on both sides.
Serve with chopped onion, cilantro, lime, and a bowl of broth for dipping.