Preheat oven to 350°F. Grease, line with parchment, and flour two round 8-inch pans.
In a medium bowl or measuring cup, combine and stir the egg whites, 1/4 cup of milk, and the vanilla. Set aside.
In the bowl of an electric mixer fitted with the paddle attachment, combine the dry ingredients together on low speed (I use the “stir” setting on my mixer) for 30 seconds.
Add the butter and remaining 1/2 cup of milk, and mix on low speed until just moistened. Increase to medium speed and mix for 90 seconds.
Scrape the sides of the bowl and begin to add the egg mixture in 3 separate batches; beat on medium speed for 20 seconds after each addition.
Divide the batter in two, spreading it into the prepared pans evenly with a small offset palette knife. If you have a kitchen scale, weigh to ensure 2 even layers.
Bake 25-35 minutes or until a cake tester comes clean when inserted into the center. Be so careful to not overbake! Check cake at 20 minutes, but not before, and once you feel it’s almost ready, set the timer for 2 minute intervals. Mine took about 29 minutes to be done, so keep a close eye on them! Let cool on racks for 10 minutes before loosening the sides with a small metal spatula, and invert onto greased wire racks. Gently turn cakes back up, so the tops are up and cool completely.
You can wrap tightly and store at room temperature for up to 2 days, refrigerator for up to 5 days, or frozen for up to 2 months, but I like to make the same day as serving, so if you are serving that day, go ahead and frost them!