Preheat oven to 350 degrees F and place oven rack in the center of the oven. Butter, or spray with a non stick vegetable spray three 9 inch cake pans. Line the bottoms of the pans with parchment paper and set the pans aside. Dust off your abuela's cafetera and make yourself some Cuban coffee. Once you have brewed 1 cup worth of Cuban coffee and set aside
In a large bowl whisk together the sugar, flour, cocoa powder, baking powder, baking soda, and salt. In another bowl, whisk together the eggs, brewed cuban coffee, coffee liqueur, buttermilk, melted butter, and vanilla paste. Once combined, mix in the dry ingredients slowly.
Divide the batter between the 3 pans as evenly as possible and bake for 22 minutes or until all pans pass the toothpick test. Once cooked, remove from the oven and allow the cakes to rest for about 10 minutes atleast. Then, remove the cakes from their pans and place them face down on parchment paper lined wire rack to cool completely.
Cakes must be completely cooled before frosting, otherwise your frosting will melt and you'll have a hell of a mess. You can also wrap them in plastic wrap once completely cooled if you're baking these ahead of time, they'll keep in your fridge for a few days until you're read to make your cake.