Place a mint sprig in each of 2 chilled martini glasses. Rub the mint inside the bowl of the glass to help release its flavour. Place an equal amount of dried cranberries and apple slices in each glass. Pour the vodka, cranberry juice and lime juice into a cocktail shaker half filled with ice. Shake until the shaker is too cold to hold; strain into the glasses. Top up each glass with the sparkling apple cider and serve immediately.