À l’Auvergnate indicates either a garnish of, or cooked with some kind of pork, such as smoked ham or pork fat. The dish will often include cabbage as well.
Language Notes
À l’Auvergnate refers to the Auvergne region of France. An “auvergnat” is both someone from Auvergne, and a type of wine made around Orléans in Auvergne.