Preheat the oven to 325°F.
Pat the pork shoulder dry with paper towels. Coat all sides with the yellow mustard.
In a small bowl, combine the kosher salt, black pepper, coriander, cumin, garlic powder, and brown sugar. Rub the spice mixture all over the pork, pressing gently so it adheres.
Heat a large Dutch oven over medium-high heat with a drizzle of oil.
Sear the pork on all sides until deeply golden brown, about 3–4 minutes per side.
In a blender, combine the orange juice, lime juice, honey, chipotle peppers, adobo sauce, garlic cloves, onion, white vinegar, and chicken broth.
Blend until completely smooth.
Pour the braising liquid around the pork in the Dutch oven.
Cover the Dutch oven with the lid and transfer it to the oven.
Cook for 5 hours, or until the pork is fork-tender, the bone slides out easily, and the internal temperature reaches about 200–205°F.
Transfer the pork to a large bowl or cutting board.
Remove and discard the bone. Use two forks to shred the pork into bite-sized pieces.
While the pork rests, skim any excess fat from the braising liquid if desired.
Place the Dutch oven over medium heat and simmer the liquid for 10–15 minutes, or until slightly reduced and concentrated.
Return the shredded pork to the pot and toss until evenly coated in the sauce.