In a cocktail shaker, combine the orange-flavored vodka, lemon wedge, diced apple, simple syrup, vanilla citrus liqueur and fresh lemon juice. Shake over ice.
For the rim of the glass, combine the sugar and cinnamon to create a sugar-cinnamon mixture. Moisten the rim of a chilled cocktail glass with a lime wedge, and then roll the edge of the glass in the mixture.
Strain the martini into the cocktail glass.