Fill a glass with ice. Pour over the vodka, orange juice, and cranberry juice and mix well. Twist the orange peel over top, nestle the peel in the cocktail and garnish with a lime wedge.
You can also make the drink in a cocktail shaker and strain into a martini glass.
For a Big Batch Cosmo Screws (about 16 servings): 750 ml vodka48 ounces orange juice16 ounces cranberry juiceFresh orange peelFresh lime wedges