Preheat your oven to 350F and arrange two racks in the oven to create thirds. Prepare two baking sheets by lining them with parchment paper.
In a large mixing bowl, whisk together the eggs and vegetable oil until they are well mixed. To eliminate any lumps, sift the cake mix into the egg and oil mixture using a fine-mesh strainer. Stir the ingredients with a spatula until the dough is formed and all the dry ingredients are combined.
Pour the powdered sugar into a shallow bowl. Take portions of the dough (about 2 tablespoons each) and roll them into balls. Gently roll each ball in the powdered sugar until they are fully coated. Place the coated cookie balls on the prepared baking sheets, ensuring there is 1 inch of space between each (around 12 cookies per sheet).
Chill the cookies in the refrigerator until they feel cool to the touch, for about 15 to 20 minutes. If the powdered sugar has absorbed into the cookies, roll them in the powdered sugar once more for extra coating.
Bake the cookies in the preheated oven for approximately 10 minutes, or until they are set. After baking, let the cookies cool on the sheets for 2 minutes before transferring them to wire cooling racks to cool completely.
Notes
The prep time for this recipe is 20 to 25 minutes, and the cook time is 10 minutes. This recipe yields about 18 cookies. For storage, keep the cookies in an airtight container at room temperature, where they will stay fresh for up to 4 days.