Pour some caramel sauce on a shallow plate, and dip the rim of your martini glasses, turning to make sure the entire rim is covered.
An a separate plate, mix some cinnamon and sugar together, and then gently dip the rim of your martini glasses in the mixture, so that it sticks to the caramel.
Add vodka, apple cider, and apple or cinnamon alcohol option to drink shaker and shake vigorously until combined. Note: You should use a total of 5 ounces of liquor for 2 martinis. If using only vodka, use 5 ounces. If using optional liquor also, use 4 ounces vodka + 1 ounce cinnamon or apple liquor.
Pour mixture into martini glasses and garnish with apple slices and cinnamon sticks, if desired.