Heat oven to 350 degrees F. Grease cookie sheet or use parchment paper.
Puree beets in a food processor or blender. In a large bowl whisk together oil, applesauce and beet puree.
In a separate bowl, combine flour and baking powder. Slowly stir flour mixture into the wet ingredients.
Knead for 3 minutes. Roll out dough to 1/4" and use the cookie cutter of your choice to cut out cookies. Place on prepared cookie sheet and bake 14 minutes, or until a toothpick inserted into a cookie comes out clean. Remove cookies from the pan and cool on a rack.