When researching this three-way mixed breed (and other similar breeds), we found a lot of information about a variety of training methods. Based on this information, we decided to develop a simple training program that focuses on just a few key points. Joel Salatin once said "we respect and honor the pigness of the pig and the chickenness of the chicken." In this wisdom, we wanted these dogs to be able to exhibit their natural, instinctive behaviors to a very high degree. We wanted these dogs to do what they do naturally.
So, this the training program we used:
1) We taught the dogs that I/Rick is the alpha male of the pack. I did this by playing rough puppy games with them when they were pups. I got down at their level and rolled them around, and always maintained the upper hand. When they needed discipline (e.g. biting me with their sharp little puppy teeth) I would push them down or sometimes give them a quick little tap, along with a stern voice command of "no" (or a low toned grunt).
2) We taught the dogs where their turf is. Our property consists of 120 acres. Nearly every day, rain or shine, we go for a walk. As young pups, the walk was short -- just around the buildings. As the pups grew, our walk would expand, until we were walking the entire fence line perimeter (two miles). If the pups crossed a property boundary fence, I would cross the fence myself and would yell and flap my arms and clap and grunt at them (negative pressure), until they crossed back onto our property. When they were back on the correct side of the fence, then we would reward them by talking calmly and petting them (positive affirmation). They learn about turf quickly. As they grew older, if they would test the boundary, I would generally only need to grunt at them and say "no" to get them to come back.
3) I taught the dogs who else is in the same pack and also reports to the same alpha (me). Again, they learn fast. They learn that the cat is OK because they see me holding and petting the cat. Same thing with the poultry, lambs, and goats. I basically give the LGDs the message that the cat is with me, the chickens are with me, the turkeys are with me, etc. Whenever we introduce a new animal, we make sure the LGDs are safely in their paddock, and can see me (alpha) being accepting of the new animal. This is basically the same approach for introducing new people to the LGDs.
With these three training points, along with their instinct, the LGDs have everything they need to know to do their job -- protect anyone or anything that belongs to their pack, that is on their turf, from any perceived threat.
Zeus, our previous Saint Bernard farm dog (who passed in 2020), was a wonderful mentor for the LGDs. He taught them many lessons that only another dog can teach. Things like: when the tone of alpha's voice gets low, you better pay attention; don't get close to a moving automobile; don't get close to the honey bee hives; and it is OK to let the baby lambs crawl over you. Zeus weighed about 145 pounds, was larger than the LGDs, was much older, and was here before them. So, he was clearly dominant over them.
The only voice commands I work on with the LGDs are "come" and "no". Every time, every time, they come to me based on the command "come", I reward them -- no matter what kind of naughtiness they were in at the time. If they don't respond to "no", then I escalate the negative pressure. When they finally respond, I reward them -- again, no matter what kind of naughtiness they were into. Generally, they mind fairly well. However, I must remember how their instincts guide them. If they think they must protect me or the pack, there is no command I can give them to get them to stop their guarding behavior. They are free thinkers.