Trim excess fat from the pork shoulder and season with salt and pepper.
Mix smoked paprika, garlic powder, onion powder, and brown sugar in a bowl.
Rub the spice mixture all over the pork.
Place the pork in a slow cooker or oven-safe dish.
Pour barbecue sauce over the pork, ensuring it’s well coated.
For slow cooking, set on low for 8 hours; or cover and cook at 300°F for 4 hours.
Once cooked, shred the pork using two forks.
Mix the shredded pork with remaining barbecue sauce.
Toast slider buns lightly if desired.
Assemble sliders by placing a generous amount of pulled pork on each bun.