Preheat oven to 350ºF and line a standard 12-cup muffin pan with cupcake liners; set aside.
In a bowl, add shaved chocolate, cocoa powder and espresso coffee. Pour in boiling water and stir until the mixture is smooth but still thick; set aside.
In a medium bowl, combine flour, baking powder, baking soda, and salt. Whisk until blended and set aside.
In the bowl of a stand mixer, add eggs, both sugars and oil. Using the paddle attachment, process on speed 6 until smooth, about a minute.
Add cooled chocolate mixture, pure vanilla extract and process on medium-low speed until mixed, about 15 seconds.
Add half dry ingredients and half vanilla yogurt. On low speed, mix until just combined before adding the remaining dry ingredients and yogurt. Once again, process until just combined – don’t overmix – and clean the sides and the bottom of the bowl as needed.
Evenly spoon the batter into prepared pan and transfer to the preheated oven. Bake for 19 to 22 minutes or until a cake tester inserted in the center comes out clean with just a few crumbs.
Remove from the heat and allow to cool completely before decorating with raspberry cream cheese frosting.