Pour the apple cider into a small pot. Heat over medium until reduced in half. Cool to room temperature and reserve 1-2 tablespoons for the glaze.

Whisk together the flour, sugars, baking powder, salt, baking soda, and apple pie spice in a large bowl.

In a measuring cup combine the eggs, melted butter, and cooled cider.

Fold the wet ingredients into the dry until just moistened. Cover with plastic wrap and refrigerate 30 minutes or until chilled.

Turn your dough out onto a lightly floured surface. Pat into a 1/2 inch thickness and cut your donuts using a donut cutter.

Heat your oil to 365 degrees. Cook the donuts 1-2 minutes on each side until lightly browned and cooked through. Dip in cinnamon sugar mixture or glaze while still slightly warm.

For the cinnamon and sugar: Combine ingredients until incorporated. Dip warm donuts to coat.

For the glaze: Combine all of the ingredients in a small bowl. Whisk with a fork. Dip the tops of donuts.