Scrape the barbecue sauce into a food processor or blender and purée until either smooth or the desired consistency. The sauce will be quite, quite thick. Let cool to room temperature. Taste and season with salt and pepper accordingly. You can start dousing and dolloping right away, although if you wait overnight, you'll be rewarded with a more complex taste with even more depth.☞ TESTER TIP: You can cover and refrigerate the sauce for up to 1 week. Bring to room temperature before using.