In a bowl, combine the paprika, brown sugar, garlic powder, chili powder, ground mustard, and salt together.
Cut pork in half, then rub the spice blend all over each piece of pork. Cover and refrigerate for 30 minutes, or overnight.
Turn the Instant Pot on to sauté. Once it says "hot", add in the oil and sauté pork for 3-4 minutes on each side until it is brown. Turn off Instant Pot.
Add Coke, water and Worcestershire sauce to the pot and close the lid, make sure the seal is closed.
Select “Manual” or "Meat/Stew" button and set for 90 minutes.
When done, let the pressure naturally release (about 10 minutes). Turn pressure valve to release any more pressure and open the lid.
Remove the excess liquid in pot and shred the pork. Place back into the Instant Pot. Stir in about 1-2 cups of BBQ sauce to desired consistence, close the lid and place on warm until ready to serve. Serve on bun. Serves 6.