Place all ingredients into a medium saucepan set over medium heat. Bring mixture to a boil and then reduce heat to maintain a simmer. Allow to simmer until sauce is thickened and berries are falling apart, about 30 to 35 minutes. Cool completely.
Once fulling cooled, assemble the paddle holder of the Cuisinart® Fruit Scoop™ Frozen Dessert Maker with the fresh fruit paddle. Place in freezer bowl and turn the unit on. While the unit is running, pour the mixture into the frozen freezer bowl.
Allow to churn until desired consistency, about 20 minutes.