Preheat oven to 350ºF.
Prepare a piping bag inside a tall glass with the small end of the bag sticking up. If you don't have a piping bag, you can snip off the end of a food storage bag.
Grease 4 cavities of donut pan with coconut oil.
Combine dry ingredients (flour, baking powder, salt).
If solid, melt the coconut oil in a pot on a very low heat until nearly liquid, then remove. Continue to stir until melted.
If milk is not room temperature, warm along with coconut until both are room temperature.
Combine wet ingredients (coconut oil, sugar, milk, applesauce, vanilla extract, peppermint extract).
Combine all of the ingredients and stir until combined.
Use a large spoon or rubber spatula to place batter into piping bag.
Twist the top of the piping bag to seal it closed, and gently squeeze the bottom so the batter is evenly distributed around each cavity of the donut pan.
If uneven, use a butter knife to smooth the batter.
Place the donut pan in the oven (I place my silicone pan on a baking sheet) and bake at 350ºF for 15-20 minutes. If a toothpick comes out clean, they should be done.
Let them sit in the pan for a few minutes to cool. Then, take a wire rack and place it on top of the donut pan. Flip the pan over so the donuts are now resting on the wire rack.
Allow to sit for a minute, then gently lift the pan from the donuts.
Let the donuts completely cool before dipping in glaze.