Combine cranberry strawberry drink and sugar in a medium saucepan. Sprinkle gelatin over juice drink and let sit 1 to 2 minutes to soften. Cook this mixture on low heat until the gelatin and sugar dissolve, stirring occasionally.
Pour into a 9x9-inch pan and freeze just until firm. Remove from freezer and cut into small pieces. Place frozen pieces in a food processor. Process until the mixture is light and creamy. Return to pan. Cover and freeze until firm. To serve, scrape off thin layers with a spoon.
Makes 6 servings.