Boil the apple cider until it reduces to about a quarter cup in size and allow to cool.
In a large bowl, beat the sugar with the butter until smooth, add
the eggs, buttermilk and reduced apple cider. In another bowl, mix
together the remaining dry ingredients: flour, baking powder, baking
soda, cinnamon, salt and nutmeg.
Add the flour mixture slowly to the liquid mixture, and mix just to
combine. You want the dough not to be sticky. Add flour to counter and
knead slightly just to combine without overworking the dough. Roll or
pat the dough to a 1/2 inch thickness. You can either use two circular
cookie cutters (one larger than the other) to create doughnut circles
or roll into small balls for holes. Place a few at a time into a deep
pan (I used my dutch oven) that’s been filled and heated with enough
oil, approximately three inches deep.
Fry a few doughnuts at a time, turning once or twice until they are browned and fully cooked through. Allow the hot doughnuts to drain on some paper towel. While the doughnuts are still warm, coat them in the cinnamon-sugar mixture. You have to work pretty fast if you want the cinnamon-sugar mix to stick, we had some difficulty with this.