In a large bowl, beat the softened butter until creamy.
Add the cocoa powder and powdered sugar, alternating with the milk, beating on low speed until all ingredients are combined.
Stir in the vanilla extract and beat until the frosting is smooth and fluffy.
Assembling the cake:
Once the cakes are completely cool, spread a layer of frosting on top of one cake layer.
Place the second cake layer on top and frost the top and sides of the entire cake.
You can decorate the cake with additional chocolate shavings, sprinkles, or any other toppings of your choice.
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