Set the oven to 350 degrees
Mix the dry ingredients: In a large bowl, mix together the cake flour, baking powder, and salt.
Cream the butter and sugar: In the bowl of a stand mixer, beat the butter and sugar on medium speed until light and fluffy.
Add eggs and flavoring: Mix in the beaten eggs on low speed, then add the vanilla extract.
Add color: Add food coloring to make red or green dough. Mix until evenly tinted.
Combine the dry and wet ingredients: Add the flour mixture and mix on low speed until a soft sugar cookie dough forms.
Chill for 10-15 minutes.
Roll 1/4 inch thick on a well-floured board.
Cut with cookie cutters.
Bake on a greased baking sheet at 350 degrees for 10 to 12 minutes.
When cool, use a brush to paint on egg whites and top with sprinkles.