To make these sandwiches, start by preparing the pork. Cut the pork shoulder into pieces and add them to a large bowl.
Next, add in the seasonings (the coconut sugar, kosher salt, garlic powder, oregano, paprika, cumin, and ground black pepper) and toss until the pork is coated in the seasoning blend.
Then, prepare the Instant Pot. Turn it on to the sauté setting and add in the oil.
Once the pot is hot, add in the pork, 3 pieces at a time, and cook for 3-4 minutes on each side. Then flip, and cook the pork for another 3-4 minutes.
Once the pork is done, remove it from the Instant Pot and transfer it to a plate. Then, add in more pork and repeat until all of the pork has been cooked.
Next, scrape down the sides of the pot and add in the rice vinegar and chicken broth, as well as the cooked pork.
Then, switch the Instant Pot to the "manual" cook setting and turn it on for 40 minutes.
While the pork is cooking, prepare the slaw. Slice the carrot, shred the cabbage, and add them to a large bowl alongside the rest of the slaw ingredients. Toss to fully combine, then set aside.
Once the pork is done, allow the pot to release steam and transfer the cooked pork back to a plate and use a fork to shred it.
Finally, assemble the sandwiches. Divide the pork equally amongst the brioche buns. Top with barbecue sauce, followed by the slaw, then close the sandwiches, serve, and enjoy!