Preheat the Oven:
Preheat your oven to 325°F (160°C). Line a baking sheet with parchment paper or leave it ungreased.
Mix the Dough:
In a large mixing bowl, combine the flour, chopped pistachios, chopped maraschino cherries, granulated sugar, softened butter, and vanilla extract. Beat the mixture on low speed, scraping the sides of the bowl as needed, until all ingredients are just combined.
Shape the Cookies:
Using your hands, shape the dough into 1-inch balls and place them on the prepared baking sheet about 1 inch apart.
Bake:
Bake the cookies in the preheated oven for 18-20 minutes, or until they are slightly golden around the edges. Remove from the oven and allow the cookies to cool on the baking sheet for about 5 minutes.
Roll in Powdered Sugar:
While the cookies are still warm, roll each cookie in powdered sugar until fully coated. Place them on a wire rack to cool completely. For a more festive look, you can roll them in powdered sugar a second time once they are fully cooled.
Serve and Enjoy:
Store the cookies in an airtight container for up to 5 days, or freeze for longer storage.