Preheat oven to 350ºF degrees. Line six 6-inch round cake pans* with parchment paper and coat with nonstick cooking spray.
In a mixing bowl, whisk together the flour, baking powder, baking soda, and salt until combined; set aside.
In the bowl of a stand mixer fitted with a paddle attachment, beat the butter and sugar together on medium speed until lightened and creamy. Beat in the egg whites, one at a time, until combined, scraping down the sides and bottom of the bowl as needed. Beat in the Greek yogurt, vanilla, and almond extract on medium speed.
Pour the dry ingredients into the wet ingredients and mix until combined. Add the Bailey's Irish Cream, then mix until just combined, scraping down the sides and bottom of the bowl as needed.
Divide the batter evenly among six separate bowls, then tint with the green food coloring until you have six different shades of green. Pour the batter into their own separate cake pan. Bake for 14-16 minutes, or until cake springs back when you gently press it. Allow to cool in the pan for 5 minutes before transferring to a wire rack to cool completely.