In a small bowl, whisk together the oregano, garlic powder, onion powder, paprika, mustard powder, brown sugar and 2 teaspoons kosher salt. Rub the spice mixture all over the pork shoulder pieces.
Place the pork shoulder, apple cider vinegar, 2 cups water and liquid smoke in the Instant Pot.
Set it on the “Pressure Cook” setting for 60 minutes and close the lid.
Once the pork is done cooking, transfer it onto a cutting board. Using two forks, shred the pork into pieces then transfer it to a large bowl and stir in the barbecue sauce. Serve it immediately or refrigerate it, covered, until ready to serve.
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