Make the cookies:
Whisk the flour, cocoa powder, baking powder, and salt together in a medium bowl. Set aside.
In a large bowl using a mixer fitted with a paddle attachment, beat the butter and sugar together on high speed until completely smooth and creamy, about 2 minutes. Add the egg and vanilla and beat on high speed until combined, about 1 minute. Scrape down the sides and up the bottom of the bowl and beat again as needed to combine. Add the dry ingredients to the wet ingredients and mix on low until combined. Dough will be soft. If the dough seems too soft and sticky for rolling, add 1 more Tablespoon of flour.
Dust the surface for rolling. With a rolling pin lightly dusted with cocoa powder or flour, roll the dough out to about 1/4-inch thickness. Use more cocoa powder/flour if the dough seems too sticky.
Cut out the men with the cookie cutter and set on a baking sheet lined with baking paper.
Bake in a preheated oven 350°F (177°C) for 15min. Allow to cool on the tray for 5 minute. then transfer to cooling rack and allow to cool completely before decorating.