Preheat oven to 300°F. Prepare three 8-inch cake pans with parchment paper and grease the sides. In a large bowl, combine the dry ingredients. Mix in eggs, milk, oil, Kahlua, and vanilla. Pour in coffee and stir until combined. Divide batter among pans and bake for 32-35 minutes. Cool completely. To make frosting, heat Kahlua, add espresso, and stir. Beat butter and shortening until smooth. Alternately add powdered sugar and Kahlua mixture, beating well. Assemble the cake, layering with frosting. Decorate with sprinkles and serve.