Pour apple juice and apple cider into a large pot and heat on medium-high. Stir in both sugars and simmer the mixture for 20 minutes, stirring occasionally. In the last 5 minutes add the cinnamon sticks. After 20 minutes, remove from heat and allow to cool.
When liquid is completely cooled add Everclear and the whipped cream vodka. Remove cinnamon sticks before refrigerating the drink. Place mixture in large pitcher or beverage container in the refrigerator.