Preheat your oven to 350°F (175°C). Grease a donut pan lightly.
In a medium bowl, whisk together flour, baking powder, baking soda, salt, cinnamon, and nutmeg.
In another bowl, whisk granulated sugar, brown sugar, apple cider, milk, egg, melted butter, and vanilla extract until well combined.
Gradually add dry ingredients to the wet mixture. Stir until just combined (a few lumps are okay).
Transfer the batter into a piping bag or a zip-top bag with a corner snipped off. Pipe the batter into the donut pan, filling each cavity about 2/3 full.
Bake for 10-12 minutes. Donuts should spring back when gently touched. Avoid overbaking.
Allow donuts to cool in the pan for a few minutes before transferring to a wire rack. While still slightly warm, dip each donut into a bowl of cinnamon-sugar coating for an even coat.
Serve and enjoy! Best enjoyed on the day they're made.