Prehaet the oven to 325 degrees Fahrenheit.
Place the cream cheese, ricotta cheese, granulated sugar, eggs and vanilla in a food processor and process until the mixture is smooth and all ingredients are combined.
Pour the batter into the chilled crust.
Place tablespoon size dollops of the berry puree on top of the cheesecake batter and
using a toothpick or skewer swirl the batter and berry puree or you can place the puree in a piping bag and draw diagonal lines and use a toothpick to feather it.
Bake for about 20-25 minutes or until the edges are firm and the center wiggles slightly.
Cool completely on a wire rack. Remove the sides of the pan and chill for about 4 hours.