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Preheat oven to 350° F. Spray doughnut pan with non-stick spray.
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Melt butter in a medium sauce pan, over medium heat. Once melted add chocolate and espresso powder. Allow to stand and melt for a few minutes then stir to smooth. Turn off heat and add sugar and egg yolk. Whisk in butter milk and vanilla extract.
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All at once, add flour, cocoa powder, baking powder, baking soda, and salt. Mix until just blended.
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Fill doughnut pans halfway (using a pipping bag or a plastic freezer bag with a corner cut open is the easiest method to do this).
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Bake for 12-14 minutes or until a tester comes out clean.
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Allow to cool for a few minutes, then fully cool on a rack.
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While cooling, make the glaze. Whisk together icing/powdered sugar, cocoa powder, vanilla extract corn syrup, and 3 tbsp of milk. Continue to whisk in milk per the tablespoon until a thick, yet pourable consistency is obtained.
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Dip doughnuts into the glaze and top with desired garnish one at a time (the garnish should be placed on the doughnuts immediately after the glaze, prior to it setting).