@e.a.moses Your suggestion is here for the OP to see. And of course they can try that, and train the dog to only stop barking at the son in law if the son in law gets down lying flat on the floor and talks baby talk.
If that is what they want to do.
What I am saying, and I am saying this for the last time, is that I would never recommend this to anyone as a way of getting their dog to stop barking.
Many people would be unwilling and many also would be
unable to get flat on the floor and talk baby talk to a dog. I personally would not be willing to do that.
And I don't think it's a helpful thing to train your dog in this way. There are many ways to help a dog who is fearful of a person learn to trust that person. And there are many ways to train a dog not to bark at people ( whether it is out of fear or not) besides ignoring the dog or getting down flat on the floor and talking baby talk.
I did not, of course, say
your dog was fearful. I suggested that the rescue dog in question here probably is.
The advice given above, for the person being barked at simply to ignore the dog, maybe toss a treat far from their body, avoiding eye contact, is sound advice and I stand by what
@Curls said. The OP is putting these suggestions into practice.
Just as putting a hand out to offer a treat could be an unwanted approach, so even more so could getting down on the floor lying flat and talking baby talk, which is very likely to be seen as weird behavior and trigger more barking and be frightening to the dog unless, as in the case of your dog, the dog has been trained to bark until a person does this. I don't think this is a helpful thing to train a dog to do.
As I said twice now, you do what you like to do with your dog. I suggest this particular suggestion and discussion of it has more than run its course, and more of it would only be repetitive. Let's let it stop here.