Prep the chiles - Simmer guajillo and ancho chiles in hot water for 10 minutes until soft.
Sear the beef - Use Sauté mode to brown the beef on all sides. Season with salt and pepper.
Blend the sauce - Blend softened chiles with chipotles, tomatoes, onion, garlic, oregano, cumin, vinegar, and 1 cup broth until smooth.
Pressure cook - Pour the chile sauce over the beef, add remaining broth, cinnamon stick, and bay leaves. Pressure cook on High for 45 minutes; natural release 10–15 minutes.
Shred the meat. Remove beef, shred with forks, and return to the pot to soak in the consommé.
Fry the tacos - Dip tortillas in the top layer of red fat from the consommé. Add to a hot skillet, sprinkle cheese, add birria, fold, and crisp on both sides.
7 Serve with a bowl of hot consommé for dipping, plus onion, cilantro, and lime.