Preheat oven to 350 degrees.
In a large bowl, mix the eggs, sugar, vanilla extract, milk, and melted butter, set aside.
In a separate bowl, sift the all-purpose flour, cocoa powder, baking powder, baking soda, and salt. Add to the wet ingredients.
Place the batter into a pastry bag and fill a greased donut pan 3/4s of the way.
Bake for about 8 minutes or until fully cooked through.
For the chocolate glaze, place the unsalted butter, milk, vanilla extract, and chocolate chips in a sauce pan and let it melt.
Stir in the powdered sugar and remove from the heat.
Frost the donuts with the chocolate glaze and Enjoy!