Step 1: Season the Pork : Rub pork shoulder with salt, pepper, smoked paprika, garlic powder, and onion powder.
Step 2: Cook the Pork : Place seasoned pork in a slow cooker or oven-safe dish with barbecue sauce, vinegar, and broth. Cook until tender and shreddable.
Step 3: Shred the Pork : Remove pork from the cooking liquid and shred with two forks. Mix with juices for flavor.
Step 4: Prepare Coleslaw : Combine cabbage and carrots in a bowl. Mix mayonnaise, apple cider vinegar, sugar, salt, and pepper. Toss with vegetables and refrigerate.
Step 5: Toast Buns : Lightly toast slider buns for better texture and flavor.
Step 6: Assemble Sliders :Place pulled pork on the bottom bun, top with coleslaw, add extra barbecue sauce if desired, and cover with the top bun.