Preheat oven to 350 degrees and line baking sheet with parchment paper or Silpat.
Place beets in food processor or blender and process until pureed.
In the bowl of a stand mixer or in a large bowl with a hand mixer or wooden spoon, combine flour, baking powder, pureed beets, honey, and coconut oil. Mix until combined, taking care not to over-mix.
On a lightly floured surface, roll out dough to about ¼" thick. Using whatever cookie cutter you desire, cut out shapes from cookie dough. Place on prepared baking sheet about an inch apart.
Bake cookies for 15 minutes. Let cool on the baking sheet for a few minutes before moving to a metal rack to cool completely.
Once cookies are cool, top with sour cream icing. You can either spread on with a spatula or pipe on with a pastry bag.