In a large pot, add beef chuck roast, beef broth, guajillo chiles, ancho chiles, garlic, oregano, cumin, black pepper, apple cider vinegar, and chopped onion.
Bring to a boil, then reduce heat and simmer for about 2.5 to 3 hours, or until the beef is tender and shreds easily.
Remove the beef from the pot and shred it with two forks. Strain the cooking liquid to use as consommé.
Heat the corn tortillas in a skillet over medium heat.
Fill each tortilla with shredded beef and sprinkle with shredded cheese. Fold the tortillas in half.
Cook the tacos in the skillet until the tortillas are crispy and the cheese is melted.
Serve the tacos hot with the consommé on the side for dipping.