Step 1

Preheat the oven to 350 degrees F (175 degrees C). Grease and flour two 9-inch round cake pans.

Step 2

Place cocoa into a small bowl, pour coffee over top, and stir to combine. Set aside to cool.

Step 3

Combine sugar, yogurt, milk, eggs, and vanilla extract in a large bowl; beat with an electric mixer until smooth and creamy. Add olive oil and mix to combine.

Step 4

Combine flour, salt, baking soda, and baking powder in a large bowl; whisk until combined with no lumps remaining. Pour dry ingredients into the wet ingredients and beat until just mixed. Stir in the coffee mixture and pour batter into the prepared cake pans.

Step 5

Bake in the preheated oven until a toothpick inserted into the center comes out clean and the center looks slightly wet but springs back lightly when touched, 25 to 35 minutes. Cool on a wire rack for 15 minutes. Run a table knife around the edges to loosen. Invert carefully onto a serving plate or cooling rack and let cool, about 30 minutes.