01 - Preheat oven to 350°F. Line a 9x9-inch baking pan with parchment paper.
02 - Combine flour, sugar, and salt in a bowl. Cut in cold, cubed butter until mixture is crumbly. Mix in egg and cold water until a dough forms. Press evenly into prepared pan and bake for 12–15 minutes until lightly golden. Allow to cool slightly.
03 - In a large bowl, beat farmer’s cheese, cream cheese, and sugar until smooth. Incorporate eggs one at a time. Stir in sour cream, flour, salt, and black pepper until well blended.
04 - Pour cheesecake filling over cooled crust and smooth the top evenly.
05 - Combine pickled carrots, cucumbers, onions, dill, and olive oil in a bowl. Scatter topping evenly over cheesecake filling and gently press down.
06 - Bake for 30–35 minutes, until center is just set.
07 - Allow bars to cool completely in the pan. Refrigerate for at least 4 hours, preferably overnight, before slicing into bars.
08 - Serve bars chilled or at cool room temperature.