Adjust oven rack to lower middle position and preheat to 300 degrees. Heat a large pot over medium heat, add oil. Season the meat with salt and pepper and brown it in batches. Transfer the browned meat to a plate.

After all the meat is browned, combine the meat with the rest of the ingredients in the pot, including the orange rinds. Bring the mixture to a simmer over medium-high heat, uncovered. Once it simmers, cover pot and transfer it to the oven. Cook until the meat falls apart when prodded with a fork, about 3 hours.

Transfer the meat to a 9x13 dish. Degrease the braising liquid by skimming with a large spoon or using a fat separator. Pour the remaining liquid over the meat. Cover the dish with foil and transfer to the fridge; chill overnight.

The next day preheat the oven to 350 degrees. Remove the dish from the fridge. Bake, uncovered for 30 minutes or until juices are bubbling. Switch the oven to broil. The meat needs to broil for about 6-8 minutes, until the top is well browned and slightly crisp. Taste and add additional salt and pepper. Serve immediately with your favorite mexican fixings.