In the bowl of a stand mixer fitted with the paddle attachment, or using an electric hand mixer, beat the softened butter until light and fluffy. Add the granulated sugar and beat until smooth.
Add the eggs one at a time, mixing well after each addition. Mix in the vanilla extract.
In a separate bowl, whisk together the flour, cocoa powder, baking powder, and salt. Gradually add the dry ingredients to the butter mixture on low speed, mixing just until combined.
Cover the dough and refrigerate for 2 hours or until firm enough to scoop and roll.
Preheat the oven to 350°F. Line a baking sheet with parchment paper. Place the confectioners' sugar in a shallow bowl.
Scoop rounded tablespoons of chilled cookie dough and roll into approximately 1-inch balls. Roll generously in confectioners' sugar until completely coated. Place on the prepared baking sheet about 2 inches apart.
Bake for 10–12 minutes, until the tops are crackled and the edges are set but the centers are still slightly soft. Cool briefly on the baking sheet before transferring to a wire rack to cool completely.
Notes
Chilling: Don't skip the 2-hour chilling time. The dough is sticky, and chilling makes it easier to roll and helps prevent excessive spreading.
Powdered Sugar: Coat the dough balls generously in confectioners' sugar immediately before baking for the best crackled appearance.
Baking: Don't overbake. The edges should be set and the centers slightly soft. The cookies will continue to firm up as they cool.
Make Ahead: The cookie dough can be refrigerated, tightly covered, for up to 48 hours before baking.
Storage: Store completely cooled cookies in an airtight container at room temperature for up to 5 days.
Freezing Dough: Freeze chilled, uncoated dough balls in an airtight freezer-safe container for up to 3 months. Thaw in the refrigerator and coat in powdered sugar before baking.
Freezing Baked Cookies: Freeze completely cooled cookies in an airtight container with parchment between layers for up to 2 months. Thaw at room temperature before serving.