Place the apple cider, apple juice, cinnamon sticks, and sugar into a large pot. Bring to a boil over medium-high heat, stirring until the sugar has dissolved.
Remove from the heat, and discard the cinnamon sticks.
Allow the mixture to cool to room temperature, then stir in the grain alcohol.
Pour into quart-size canning jars, seal with the lids and rings, and refrigerate until ready to serve.
**NOTE: This recipe that it makes 5 quarts! You can store this in the refrigerator for at least 6 months. I've heard of people storing it for a year or more.