Hi. I was hoping to get a response before answering but want you to have some answers as well.
I have a dog currently that I got from the pound that did this when we first got him, so I understand you are being driven crazy. Here is what worked for us. We left his leash on in the house attached to a chain collar. Each time our dog barked inappropriately we gave a quick tug correction to distract him, said "no bark" and had him sit. After a few corrections right in a row, he would finally stop barking for a second. When he didn't bark I'd give him a treat. By the end of a couple of weeks, he had reduced his barking significantly. We did go through a lot of treats.
We did this over the course of a month all together, giving treats for non barking and eventually phasing out the treats and using praise instead with a treat only once in a while. Now he rarely ever barks. This is also a method that many of my clients elect to use as well.
As crazy as this sounds you may wish to teach the pup the speak command and then the quiet command. It seems easier to teach the quiet command after the dog has learned the speak command. The following site explains teaching speak and quiet commands.
You also have the option of getting a bark collar such as citronella spray collar, or a shock collar that will stop excessive barking. These collars must be fit properly and the sensors must be touching the throat. They work great for situations where you are not there to correct the barking.
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Since there have been recalls on certain foods, please check the following site to be sure the food your animals eat is not affected. If it is affected, contact your vet as soon as possible. Have your dog seen if they have any symptoms.