Large flour tortillas wrapped around slow-cooked pork asado in a rich chile sauce. These protein-rich burritos make a filling, family-friendly meal with deep, smoky flavors.
Heat a large Dutch oven over medium-high and add olive oil. Sear the pork shoulder chunks on all sides until browned, about 6 minutes total; set pork aside.
Reduce heat to medium. Add diced onion and sauté until translucent, about 4 minutes. Add minced garlic and cook for 1 minute more.
Toast guajillo and ancho chiles in the empty pot for 1-2 minutes per side until fragrant, ensuring not to burn them.
Add browned pork back to the pot along with the onions, chiles, cumin, oregano, salt, pepper, and chicken broth. Stir to combine and bring to a gentle simmer.
Cover and slow-cook on low heat for 2.5–3 hours, turning pork every hour, until the meat is fork-tender and sauce is rich. Remove chiles, shred pork in the sauce, and let simmer uncovered 10 minutes to thicken.
Warm flour tortillas briefly in a skillet. Spoon generous amounts of asado filling onto tortillas and wrap tightly into burritos. Serve hot.