In a cocktail shaker, combine the apple cider, apple pie moonshine, fresh lemon juice, simple syrup, ground cinnamon, and nutmeg. Add a generous amount of ice cubes to the shaker.
Secure the lid tightly and shake vigorously for about 15-20 seconds until the outside of the shaker feels well-chilled. This ensures the drink is properly diluted and cold.
Using a fine-mesh strainer over your serving glass (filled with fresh ice if desired), pour the shaken mixture. This will catch any small ice chips or spices.
Garnish your cocktail with a thin slice of apple, a cinnamon stick, or a star anise for an extra touch of autumnal elegance.