2In a large bowl, combine the shredded cabbage and shredded carrots.
In a separate small bowl, whisk together the mayonnaise, apple cider vinegar, sugar, celery seed, salt, and black pepper until well combined.
Pour the dressing over the cabbage and carrots, and toss to coat evenly.
Add the barbecue sauce to the coleslaw mixture and stir until well combined.
Cover the bowl and refrigerate for at least 1 hour before serving to allow the flavors to meld.
Serve chilled as a side dish or topping for barbecue dishes.