Preheat the oven to 350 degrees.
In a bowl combine flour, cocoa powder, baking powder, espresso powder, and salt.
With an electric mixer, beat the oil, vanilla, sugar, and eggs.
Slowly mix in the flour, cocoa mixture into the beaten sugar mixture until combined.
Cover the bowl and refrigerator for 2-4 hours until the dough firms up.
Pour powdered sugar into a bowl and set off to the side.
Using a cookie scooper, scoop 1" round balls.
Roll the ball in the powdered sugar.
Place the cookies 2" apart on a lined cookie sheet.
Bake the cookies in batches for 9-10 minutes until the tops of the cookies have cracked. Add a few more minutes if they need.
Let them cool and then move them to a cooling rack.