Preheat oven to 350°F. Grease a 9x13-inch baking pan and line with parchment paper. Set aside.
Whisk together flour, baking powder, baking soda, and salt. Set aside.
Using a stand mixer or hand held mixer, whip together egg yolks and sugar on medium speed until the mixture has thickened and is pale in color. Add milk and mix until incorporated.
Add flour mixture and mix until combined.
In another bowl, using an hand held mixer, whip egg whites to medium peaks. Gently fold egg whites into batter in three additions. Fold until there are no longer any white streaks of egg whites. Be careful not to overmix.
Pour cake batter into prepared baking pan. Spread into an even layer. Bake for 35 minutes until the top of the cake is golden brown and a toothpick inserted in center of cake comes out clean. Leave cake in pan and let cool to room temperature.