6 tablespoons
                        butter, divided, plus more for baking dish
                                        
                        
                        2
                        large onions, diced
                                        
                        
                        3
                        large celery stalks, diced
                                        
                        
                        2
                        apples, cored and diced
                                        
                        
                        1 pound
                        Andouille sausage, removed from casing
                                        
                        
                        1/2 cup
                        apple cider
                                        
                        
                        1 cup
                        cranberries, fresh or frozen
                                        
                        
                        1 tablespoon
                        chopped fresh rosemary
                                        
                        
                        1 tablespoon
                        chopped fresh sage
                                        
                        
                        1
                        recipe Cast-Iron Skillet Cornbread (below), or 1 10-inch cornbread, cut in 1 1/2-inch cubes
                                        
                        
                        1
                        large egg, beaten
                                        
                        
                        1 cup
                        chicken stock
                                        
                        
                        1 1/2 cups
                        coarse yellow cornmeal
                                        
                        
                        3/4 teaspoon
                        baking soda
                                        
                        
                        1/2 teaspoon
                        Kosher salt
                                        
                        
                        2
                        large eggs
                                        
                        
                        1 1/2 cups
                        plain drinkable yogurt, kefir, or buttermilk
                                        
                        
                        1 1/2 tablespoons
                        maple syrup or honey
                                        
                        
                        4 tablespoons
                        unsalted butter