Reading through this thread, I feel the need to share our LGD experience.
"Training," as such, isn't going to work with most LGDs. They either have the instinct or they don't. When they do have the instinct, your goal is to shape it more than train it.
They are territorial. You have to make sure they know the boundaries in a general way, but you cannot get them to respect fences, especially poorly built fences. "Pig tight" is a term that comes to mind, if you want to strictly keep the guardians in a given area.
Our dogs tried to extend their territory, so we asked (begged, in one case) the neighbors to be unfriendly if our dogs showed up. Chuck a stick at them, holler at them, do not pet them, do not (as one neighbor did) take them on a fun walk back to our place.
You may be advised to be cold and indifferent to the guardians. We found this to be a mistake. They do want to please their humans; you can be kind and friendly to them without making them into house pets, just as you can with the rest of your livestock.
Keep them fed, inspect them for injury, treat them well.
Anecdotally... Our guardians have taken to keeping an eye on the cattle across the road. This is actually appreciated by the ranchers who own those cows, because even though they have guard donkeys and a couple of dogs, the cows trust our dogs when they are calving. The cattle actually make their way in the direction of our place when they are getting ready to deliver, and our dogs keep enemies away. The donkeys, for whatever reason, stay away from the pregnant cows, and neighbors' dogs aren't as aggressive against coyotes et al as my LGDs. <shrug> It works for all of us, as my dogs prioritize our herd of goats, but include the immediate ranch boundaries in their reconnaissance runs.