5 cups finely shredded green cabbage (half a 2-pound cabbage)
4 potato rolls or other soft sandwich rolls
Preheat oven to 475 degrees. Divide Quick BBQ Sauce between two bowls. Use one for basting the raw meat; reserve the other for serving with sandwiches.
Place pork on a foil-lined rimmed baking sheet; season with salt and pepper. Brush generously with sauce. Roast, basting occasionally with sauce, until an instant-read thermometer registers 150 degrees, 18 to 25 minutes.
Meanwhile, make slaw: In a medium bowl, whisk together mayonnaise, vinegar, mustard, and brown sugar until smooth; season with salt and pepper. Mix in cabbage.
Thinly slice pork; serve on rolls, accompanied by slaw and reserved sauce.