Directions

1. Preheat oven to 350 degrees F (175 degrees C). Lightly grease baking sheets, or line with parchment paper.
2. Beat 1 1/2 cups confectioners' sugar with the butter, peppermint extract, vanilla extract, and egg in a mixing bowl at Medium speed until well blended and creamy, 2 to 3 minutes. Reduce speed to Low, and gradually mix in the flour, baking powder, and salt until well blended, 1 to 2 minutes. Stir in 1/2 cup crushed peppermint candy using a wooden spoon.
3. Place the white sugar in a shallow bowl. Roll a small amount of cookie dough between your hands to make 3/4 inch diameter balls. Roll in sugar. Place 1 inch apart on prepared baking sheets.
4. Bake in preheated oven until light brown, 10 to 12 minutes. Remove and cool on racks.
5. Meanwhile, to make the glaze, stir the remaining 1 1/2 cups confectioners sugar together with the milk in a bowl until smooth. Drizzle cooled cookies with the glaze, and sprinkle immediately with the remaining crushed peppermint candy.