First, make the syrup. In a small saucepan, combine the cranberry cocktail, cane sugar, cinnamon, ginger, and cranberries. Place the saucepan over medium heat and bring to a strong simmer, stirring often. Once the cane sugar has dissolved and the cranberries are popping and splitting, remove the syrup from the heat. Run the syrup through a fine mesh strainer and press on the cranberries to extract their juice. Let the syrup cool before bottling and storing in the refrigerator for up to 2 weeks.
Make the spiced cranberry orange margaritas. In a cocktail shaker, combine the tequila, Cointreau, cranberry cocktail, lemon juice, orange juice, and cranberry syrup. Top it up with lots of ice. Place the lid on the cocktail shaker tight and shake vigorously, until the outside of the shaker has condensation and feels very cold.
Strain the spiced cranberry orange margaritas over two glasses filled with ice. Garnish the beverages with cinnamon sticks and a few frozen cranberries.