Toast the dried guajillo and ancho chilies in a dry skillet over medium heat until fragrant, then soak them in hot water for 10 minutes until softened.
Place the softened chilies in a blender with the beef bone broth, garlic, cumin, oregano, cinnamon, and apple cider vinegar, blending until completely smooth.
Season the beef chuck roast with sea salt and black pepper, then sear in a pot over medium-high heat until browned on all sides.
Pour the blended chili sauce over the beef and simmer on low heat for 3-4 hours, or until the meat is tender enough to shred easily with a fork.
Remove the beef from the pot and shred it, reserving the remaining liquid in the pot to serve as the dipping consommé.
Lightly dip each corn tortilla into the top layer of the consommé to coat, then place on a hot griddle or skillet.
Top the tortillas with shredded Oaxacan cheese and the shredded beef, folding them in half and cooking until the cheese is melted and the shells are crispy.
Serve the tacos hot with a side bowl of the warm consommé, garnished with the diced white onion, fresh cilantro, and lime wedges for squeezing.