This is the dividing line for North Carolina barbecue. In the Piedmont, which includes Lexington, pork shoulders are smoked and the sauce features some ketchup and sugar, but more sugar than sauces from eastern North Carolina and less ketchup than sauces from western places like Memphis and Kansas City. Use the “dip” to toss with any pulled pork, chicken or turkey; it makes an excellent table sauce, as well. People who prefer predominantly dry, Memphis-style ribs might like to use this sauce…