Pre-heat oven to 350 degrees. Grease and flour two 8-inch cake pans and set aside.
Whisk together the dry ingredients and set aside.
Using an electric mixer, combine the butter and sugar until pale and fluffy (3 to 5 minutes). Beat in the egg yolks, one at a time, until smooth. Add in the vanilla and mix until combined. Stop the mixer and scrape down the bowl.
With the mixer on low, gradually add in half of the dry ingredients. Slowly stream in the milk and mix until combined. Add in the remaining dry ingredients and mix until the last streaks of flour disappear. Mix on medium for no more than about 30 seconds.
Evenly distribute the batter between the two pans. Bake for 28 to 35 minutes, or until a toothpick inserted into the center of the cakes comes out clean. Cool on a wire rack for 10 to 20 minutes before removing the cakes from their pans. Let completely cool before slicing in half horizontally to create four, even layers (if desired).