I have a pyr/anatolian cross. Let me tell you the absolute worst punishment for him is a squirt gun filled with water. He HATES water being sprayed in his face.
I had tried just about everything as punishment for him, nothing worked, even the shock collar had no effect on him. He has nerves of steel. He is a wonderful dog and is still young at a year and half. The guineas and peacocks still interest him a bit much, but I can have him in the house and he is 100% trustworthy with my chickens inside. I have done mostly positive enforcement training, I just needed an effective punishment when he decided not to listen and that is the most effective. He had come to be 100% trustworthy with the outside birds as well but we have had setbacks with that, no fault of the dog's and a long story that is not relevant.
I did have his littermate and had to rehome her, as she had horrible issues with the birds and really wanted to be a pet. She just was not LGD material. We had her spayed as well at 8 months and the issues with her were not good to begin with and got worse with her after spaying. She started roaming the neighborhood, and she was a wonderful killer with an extremely high prey drive for small critters, she just didnt discriminate between skunks, mice, raccoons, and chickens. Coyotes could howl 100 yards away in our backyard and she wouldnt even raise her head if she was sleeping.
Hope you able to resolve this.