Preheat the oven to 350°F. Grease two 9-inch round cake pans. Set aside.
Add the flour, sugars, cocoa powder, baking soda, baking powder, and salt to a large bowl and whisk until combined.
3½ cups all-purpose flour, 2 cups granulated sugar, 1 cup brown sugar, 1½ cups dark cocoa powder, 1 tablespoon baking soda, 2 teaspoons baking powder, 1 teaspoon kosher salt
In a separate bowl, whisk together the eggs, milk, Greek yogurt, water, vanilla extract, and melted butter.
5 large eggs, 2 cups milk, 1 cup plain Greek yogurt, 1 cup water, 1 tablespoon pure vanilla extract, ¾ cup unsalted butter
Add the wet ingredients to the dry ingredients and mix with a handheld electric mixer until just combined.
Pour the batter evenly among the 2 cake pans (about 1,264 grams per pan).
Bake for 40-45 minutes or until a toothpick inserted in the center of the cake comes out clean.
Let the cake cool for at least 10 minutes.