Heat oven to 350 degrees Fahrenheit and place parchment or wax paper on cookie sheets.
In a large bowl, stir together beet purée, applesauce, and olive oil.
In a separate bowl, combine oat flour and baking powder. Slowly stir the flour mixture into the wet ingredients.
Stir in the quick rolled oats. Cover the bowl and let the oats expand for 10 minutes.
Cover a countertop with parchment or wax paper and dust with the coconut flour.
Spoon out a cup of the mixture onto the covered countertop.
Pour a small amount of coconut flour on the mixture, knead it into a play-doh-like consistency and form a dough ball.
Flatten the dough ball with the palm of your hands, then roll it out with a rolling pin to a ¼ inch.
Use a heart shaped cookie cutter to cut out cookies and place on the prepared cookie sheets.
Bake for 5 to 6 minutes, then turn the cookies over and bake another 5 to 6 minutes.
Remove the cookies from the pan and let them cool on a rack.