In a small bowl, stir together vinegar and milk and keep aside.
In a large mixing bowl, whisk together flour, sugar, cocoa powder, baking powder, baking soda, espresso powder.
Add oil, vanilla extract, applesauce and the vinegar-milk mixture.
Mix until just combined.
Pour batter in two greased and floured round cake pans (Dimensions: 8x2), lined with parchment paper.
Bake at 350 degrees F for 35-40 minutes or until an inserted toothpick in the center comes out clean.
Allow the cakes to cool completely at room temperature.
While cakes are cooling, prepare frosting.
Remove cakes from pans and discard parchment papers.
Place cakes on individual serving dishes.
Use a spatula to spread icing on top of each cake in a rustic pattern. Enjoy!