01 - In a dry skillet over medium heat, toast the dried guajillo, ancho, and pasilla chiles for 1-2 minutes until fragrant. Transfer chiles to a bowl, cover with hot water, and soak for 10 minutes until softened.
02 - In the same skillet, roast the quartered onion, garlic cloves, and halved Roma tomatoes until lightly charred on all sides, about 5-7 minutes.
03 - Drain the soaked chiles and transfer to a blender along with the roasted vegetables, apple cider vinegar, ground cumin, dried oregano, dried thyme, ground cinnamon, whole cloves, and 1 cup of beef broth. Blend until completely smooth.
04 - Place the beef chuck roast and short ribs in a large Dutch oven or stockpot. Season generously with salt and pepper. Pour the blended chile mixture over the meat along with the remaining beef broth. Add the bay leaves and stir to combine.
05 - Bring the mixture to a boil over high heat, then reduce to low. Cover and simmer for 2.5 to 3 hours, or until the beef is fork-tender and shreds easily. Skim any excess fat from the surface and reserve for frying tacos if desired.
06 - Remove the beef from the cooking liquid and shred using two forks. Return the shredded meat to the pot to keep warm, or transfer to a separate bowl. Strain the consommé if a smoother texture is preferred and keep warm for serving.
07 - Heat a skillet or griddle over medium heat. Have the birria consommé, reserved fat, or neutral oil ready for dipping and frying.
08 - Briefly dip each corn tortilla into the top layer of birria consommé or reserved fat, coating both sides. Place on the hot skillet and sprinkle shredded cheese on one half. Add a generous portion of shredded birria beef, then fold the tortilla in half to form a taco.
09 - Cook the tacos for 2-3 minutes per side until golden brown and crispy. Add additional oil or consommé to the skillet as needed to prevent sticking. Repeat with remaining tortillas and filling.
10 - Serve the crispy birria tacos immediately, topped with finely diced white onion and chopped fresh cilantro. Accompany with lime wedges and a small bowl of warm birria consommé for dipping.