Prepare the marinade by blending soaked guajillo and ancho chiles with beef broth until smooth. Add garlic, cumin, oregano, paprika, salt, and pepper, and blend again.
Marinate the beef in a large bowl with the marinade, cover, and refrigerate for at least 60 minutes or overnight for best results.
In a large pot, add marinated beef and quartered onion. Pour in remaining beef broth and apple cider vinegar. Bring to a boil, then reduce heat and simmer for 120 to 150 minutes until tender.
Remove beef from pot and strain the cooking liquid to make consommé.
Shred the cooked beef and toast corn tortillas in a skillet for 30 seconds on each side. Assemble tacos with beef, cilantro, and diced onion.
Serve tacos with lime wedges and a bowl of consommé for dipping.