In a large skillet that can transfer to oven or a Dutch oven, heat oil, a couple pf turns of the pan, add root vegetables and sauté to tender, 7-8 minutes, add cooked poultry meat and cover with stock, gently heat through and reduce heat to simmer to keep warm.
Meanwhile, place BBQ sauce ingredients in small pot, bring to bubble then reduce heat and cook sauce over low flame 30 minutes to thicken.
Preheat oven to 400°F.
Stir barbecue sauce into meat and vegetables and combine. Top BBQ turkey or chicken with prepared corn muffin mix with chives or scallions added. Spread mix in even layer then place in oven and bake to golden brown and topping firm enough to cut through.