In a medium bowl, whisk together the flour, baking powder, and salt.
In a large bowl, beat the butter and sugar until light and fluffy. Add the eggs, one at a time, beating well after each addition. Stir in the vanilla extract.
Gradually add the dry ingredients to the wet ingredients, mixing until just combined.
Divide the dough into two equal parts. Tint one part with red food coloring and the other part with green food coloring, kneading until the color is evenly distributed.
Roll each colored dough into an 8x8 inch square. Place the green dough on top of the red dough and roll up tightly to form a log. Wrap the log in plastic wrap and refrigerate for at least 1 hour.
Preheat the oven to 350°F (175°C). Slice the chilled dough log into 1/4 inch slices and place on a baking sheet lined with parchment paper.
Bake in the preheated oven for 10-12 minutes, or until the edges are just starting to brown. Cool on a wire rack.
Notes
These cookies can be stored in an airtight container for up to 1 week.