Slice lemon crosswise, discarding seeds and ends. With a vegetable peeler, pare peel from orange (colored part only); reserve orange for another use. In a food processor, whirl lemon and orange peel until finely chopped.
In a 3- to 4-quart pan, combine citrus mixture, sugar, fruit juice concentrate, and dried cranberries. Boil over high heat, stirring often, until reduced to 1 1/2 cups, 3 to 4 minutes. Cover and chill until cold, at least 1 hour.
Stir cranberry base. Spoon 1 tablespoon of the mixture, including fruit, into each glass (at least 1-cup size), add 3/4 cup sparkling apple juice, stir, and serve.