In a small plate, mix together sugar and ground cinnamon. Rub a lime wedge around the rim of each glass, then dip them into the sugar-cinnamon mixture.
In a cocktail shaker, combine lime wedges, apple cider, agave syrup, apple butter, and cointreau (or orange juice).
Add ice to your shaker until it's about halfway full. Secure the lid tightly and shake vigorously for about 15 seconds.
Strain the mixture into prepared glasses filled with ice.
Garnish with a cinnamon stick and an apple slice on the rim.