01 - Whisk together flour, baking powder, and salt in a medium bowl. Set aside for later use.
02 - Beat butter and sugar on medium speed until light and fluffy, approximately 2–3 minutes.
03 - Add egg and vanilla extract to the butter mixture. Mix until thoroughly combined.
04 - Gradually blend dry ingredients into wet mixture, mixing just until dough forms. Avoid overmixing.
05 - Divide dough in half, flatten into discs, wrap in plastic, and refrigerate for minimum 30 minutes.
06 - Set oven to 350°F. Line two baking sheets with parchment paper.
07 - On lightly floured surface, roll dough to ¼ inch thickness. Cut rounds with 2-inch cookie cutter, placing 1 inch apart on prepared sheets.
08 - Bake for 8–10 minutes until edges just begin turning golden. Cool on sheets for 2 minutes, then transfer to racks to cool completely.
09 - Beat butter until creamy. Gradually incorporate powdered sugar, milk, vanilla, and salt, beating until smooth and fluffy.
10 - Divide buttercream into small bowls. Tint each portion with different pastel gel food coloring.
11 - Spread or pipe generous layer of buttercream onto flat side of half the cookies. Top with remaining cookies to form sandwiches.
12 - Let assembled cookies set for 20 minutes before serving.