Add the coca-cola (or Dr Pepper or broth), bbq sauce, brown sugar, apple cider vinegar, garlic powder, onion powder, paprika, cumin, salt and pepper to the Instant Pot. Mix well. Place the pork pieces into the liquid and stir.
Place the cover on the pot and set timer to 45 minutes on high pressure. It will take the IP around 15 minutes to build up pressure before it begins cooking.
When cooking time is done, let the pressure release naturally for 15 minutes then set to Quick Release. Let the float valve drop and remove the cover.
Remove pork from the pot and shred. Return shredded pork to the pot and let sit 5 minutes.
Serve on hamburger buns with extra bbq sauce and pickle slices for toppings.