In a large bowl, whisk together the flour, xanthan gum, sugar, baking powder, and salt.

In a separate small bowl, whisk together the eggs, avocado oil, vanilla extract, coconut milk, and vinegar. Pour the wet ingredients into the dry ingredients and mix until all of the dry ingredients are incorporated. Let the batter sit for 5 minutes.

After the batter rests, use a piping bag or spoon to transfer the batter into the prepared donut pans, filling only halfway. Bake for 8-10 minutes, or until a tester comes out clean. Invert the donuts onto a wire rack and cool completely before adding the icing.

Repeat steps for baking in batches as necessary.

In a microwave safe bowl, add the ghee and heat in the microwave until melted. Stir in the powdered sugar, vanilla, coconut milk, salt, and food coloring. Mix until all of the powdered sugar is mixed in and is no longer lumpy. Heat in the microwave for 15 seconds and mix again. If the glaze is too thick, add a bit more milk. The glaze shouldn't bee too thin so it sets up nicely.

Dip the donuts in the glaze and then set them on a wire rack to add sprinkles. (Add the sprinkles immediately after dipping each donut, not after all the donuts have been dipped.) Let the glaze set for 5-10 minutes to harden. Store leftovers in an air-tight container up to 2 days.