Cookies:

• 2 cups all-purpose flour
• 1 1/2 teaspoons baking soda
• 1/2 teaspoon fine salt
• 4 tablespoons unsalted butter, softened
• 1/4 cup vegetable shortening
• 1/2 cup granulated sugar
• 1/2 cup packed dark-brown sugar
• 1 large egg
• 1 cup whole Egg Nog
• 1 teaspoon pure vanilla extract
• 1/2 tsp Nutmeg
• 1/8 tsp ground Cloves
• 1/4 tsp Cinnamon

Filling:

• 1 stick (1/2 cup) unsalted butter, softened
• 1 1/4 cups confectioners sugar
• 1 cup marshmallow cream such as Marshmallow Fluff
• 1 1/2 tsp Rum Flavor
• 1/4 tsp Vanilla Extract