In a large bowl, beat the cream cheese and sugar together until smooth.
Add the eggs one at a time, mixing well after each addition.
Mix in the vanilla extract, sour cream, and flour until fully incorporated.
Divide the filling into two bowls. Add the lavender extract to one bowl and the blackberry puree to the other. Mix each until smooth.
Spoon alternating dollops of each filling into the crusts, then swirl gently with a toothpick for a marbled effect.
Bake for 18-22 minutes or until the centers are set. Let cool completely.