In a large bowl mix shredded cabbage, sliced onion, parsley, dill, salt and pepper, set aside.
Preheat the oven to 350 degrees.
Butter and sprinkle with some breadcrumbs the bottom of a large casserole or glass baking dish.
To a mixing bowl sift the flour, baking powder, baking soda. Mix to combine.
In a large measuring cup mix sour cream, mayonnaise and lightly beaten eggs, fold-in to the flour mixture.
Pour 2/3 of the batter to the baking dish; then squeeze with your hands the excess liquid from cabbage filling and spread it on top of the batter.
Crumble feta evenly on the top of the cabbage, then cover with the rest of the batter.
Bake for 1 hour, or until the pie is golden brown and the sides are slightly pulled from the baking dish.
Serve hot or room temperature.