In a large cooking saucepan set over medium-high heat, melt the butter (or oil, if you prefer). After adding the onions, thyme, and garlic, continue to sauté the mixture for another three to four minutes, or until the onions have become caramelized.
Keep the heating going for another 4 minutes after adding the tomato paste, tomatoes, Worcestershire sauce, and creole seasoning. After adding the barbecue sauce and chicken stock, bring the pot to a boil for 7–10 minutes.
Add some salt and cayenne pepper before serving.
After approximately 20 minutes, add the pork and poultry that has been chopped and continue to cook.
Add the maize and lima beans to the cooking pot and continue to cook for approximately ten minutes, or until the dish has reached the flavor and consistency you prefer.
Serve at a moderate temperature.