Heat the olive oil over med-high heat in a large frying pan. Season the pork on all sides with salt and pepper. Place the roast in the pan and sear until a golden brown crust has formed. Turn and repeat on all sides.

Transfer the pork to the slow cooker. In a small bowl, whisk the apple butter, apple cider and cider vinegar until combined. Pour 1/2 of the sauce over the pork and reserve the remainder. Place the lid on the slow cooker and cook on high for 4-5 hours or low for 7-8 hours. When the pork is done and can easily be shredded with a fork, transfer to a serving platter. Using two forks, shred the pork. Discard the bone. Skim the fat off the juices in the slow cooker and return the pork to the pot.

When ready to serve, slice the slider rolls in half. Top the bottom half with 2 heaping tablespoons of pork and drizzle with the remaining sauce. Place the top half of the roll on top of the pork. Serve immediately.