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In a large bowl, sift together flour, cocoa powder, baking powder, baking soda and salt.
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In a smaller bowl, whisk together buttermilk, eggs, sugar, melted butter and vanilla extract. Add the wet ingredients to the dry all at once. Stir with a spoon/rubber spatula until the dough comes together.
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Line a baking sheet with parchment paper. Lightly dust some flour on to your hands; this will help keep the dough from sticking. Roll dough into balls just smaller than a golf ball in size and then place them on to the parchment lined baking sheet.
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Fill a large, heavy-bottomed skillet about 2/3 of the way up with vegetable oil. Heat over medium/high heat. Once it reaches 350 degrees F, add 2-3 donut holes at a time, frying for 2-3 minutes. Use a slotted spoon to turn the holes a few times so they fry evenly. Place fried doughnut holes on wire rack to cool and drain. Continue this process until all doughnut holes have been fried.
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To make the glaze, combine the powdered sugar, milk, and vanilla extract in a large bowl. Whisk to combine. Dip each doughnut hole into the glaze and then set each on a wire rack to set up. While the doughnut holes are still wet, sprinkle with sprinkles, if using.