For a nonalcoholic version of this drink, omit the liqueur and substitute orange-flavored seltzer water for the wine.
Fill nine wineglasses halfway each with cracked ice. Fill a cocktail shaker with ice cubes and add carrot-orange juice, liqueur, and lime juice. Shake well. Divide evenly among wineglasses. Top each glass with 4 ounces of wine. Garnish with lime wedges.