Preheat your oven to 350°F (180°C) and thoroughly grease two 8-inch round cake pans. Set them aside.
In a large mixing bowl, sift together the flour, granulated sugar, cocoa powder, baking powder, baking soda, and salt. Stir until combined and set aside.
In a separate large bowl or the bowl of a stand mixer, whisk together the eggs, vanilla extract, vegetable oil, sour cream, and milk until smooth. Gradually incorporate the dry ingredients into the wet mixture, mixing until just combined.
Carefully pour in the hot coffee, blending until the batter is smooth and thin. Divide the batter evenly between the prepared pans.
Bake in the preheated oven for 25-30 minutes, or until a toothpick inserted into the center comes out clean with only a few moist crumbs attached. Allow the cakes to cool in the pans for 10 minutes, then transfer them to a wire rack to cool completely.