Boil the apple cider until it is reduced to one cup. Place in another container and allow to cool to room temperature.
Preheat the oven to 350F. Coat the inside of a bundt cake pan with shortening and flour.
Mix together the flour, baking powder, baking soda, cinnamon, cloves, cardamom, and salt together and set aside.
In a separate bowl, beat the eggs well and add the melted butter, sugar buttermilk, and vanilla. Beat until well-combined.
Pour the wet ingredients into the dry and mix until just combined - do not overmix. Pour the batter into the bundt pan.
Bake for about 40 - 45 minutes, or until a toothpick inserted in the middle comes out clean. Allow to cool for about 30 minutes, then sharply tap the cake against the counter to loosen. Carefully flip the cake onto a wire rack and tap to release the cake. Allow to cool completely.
Mix together the sugar, and cinnamon together. Brush the cake with butter, then sprinkle with the cinnamon sugar mixture.