In a medium bowl, whisk together the flour, cocoa powder, baking powder, and salt. Set aside.
In a large bowl, whisk the granulated sugar, eggs, vegetable oil, vanilla extract, and red food coloring until smooth and evenly combined.
Gradually add the dry ingredients to the wet ingredients, mixing just until a soft, sticky dough forms. Do not overmix.
Cover the bowl and refrigerate the dough for at least 2 hours. Chilling is essential for proper crinkle formation.
Preheat the oven to 350°F (175°C) and line a baking sheet with parchment paper.
Scoop the chilled dough into 1-tablespoon-sized balls. Roll each ball generously in powdered sugar until fully coated.
Place the dough balls on the prepared baking sheet, spacing them about 2 inches apart.
Bake for 10–12 minutes, until the cookies are crackled on top and just set around the edges. The centers should still look soft.
Allow cookies to cool on the baking sheet for 5 minutes, then transfer to a wire rack to cool completely.