Preheat oven to 300 degrees.
Cut pork into large cube pieces, pat dry, sprinkle with salt, and set aside.
In a bowl, combine dried oregano leaves, cumin, cayenne pepper, paprika, chili pepper, red pepper flakes, and black pepper.
Heat olive oil over medium-high heat in Dutch oven; add pork and sear all sides (3 to 5 minutes per side until they turn brown).
Add chicken broth, orange juice, lime juice, spices, cloves of garlic, celery sticks, onions, and bay leaves to Dutch oven. Stir to combine ingredients.
Cover Dutch oven with lid, transfer to oven and braise until pork is tender for approximatively 3.5 - 4 hours.
Remove pork from Dutch oven, transfer to large sheet pan, and shred meat using two forks.
Spoon some the juice (about ¼ cup) from Dutch oven and pour over pork. Broil meat for approximatively 8-10 minutes or until pork start to develop crispy edges.