Start by preparing the topping by adding all ingredients to a small pot and bring it to a shimmer. Let it cook on low heat until reduced and thickened. Turn off the heat and let it rest.
Preheat the oven to 200 degrees Celcius.
Line a 20*20 cm baking sheet with parchment paper.
Combine the ingredients for the crust and place on the bottom the baking sheet and press down until it is even and hold together. Bake in the oven for 20 minutes, until it has is a bit browned and firm.
Meanwhile add creme cheese, yogurt and sugar to a high speed blender or mixer. Add one egg at a time and mix in between. Make sure not to mix for too long, just until incorporated.
Next add the corn starch and lemon juice and mix again.
When the crust is done in the oven pour the cheesecake batter over it and even out using a silicon spatula.
Dollop the blue and blackberry sauce over the cheesecake. Then using a knife make swirls in the cheesecake.
Bake in the oven for 35-40 minutes. The cheesecake should be firm at the edges but still a bit wobbly in the center. Take it out, let it cool and it will set. Cut into bars.