I don't know what's in those tablets and treats, but I don't think drugging a dog into calmness should be a training method unless the dog has some pretty severe anxiety issues and it's done with the knowledge of a vet.
Herbal mixtures can be potent and not safe for a puppy too.
I think you need to address Why the puppy is barking and work on fixing it rather than trying to dope it into 'calmness'. The puppy is after all a baby, and I hope that anyone with a crying or screaming child wouldn't slip it a micky to try to stop that behavior. For a puppy to bark...it's trying to tell you something.
I am not trying to be harsh sounding....it just worries me that you are treating the results of something with those 'calming pills' rather than looking into why your puppy is barking and using gentle, positive training methods to distract your puppy from doing it...or as another poster brought up....maybe the puppy is bored or not getting enough physical activity.
I hope you hang around and get a chance to watch or read about some of the training videos on YouTube that people know about here. I've not dealt with a barking pup/dog in a long long time, so I've never looked up links for it...but I'm sure someone here can point you to some excellent puppy training vids on YouTube and maybe one of them will address the barking issue.
Btw, I'm not opposed to using drugs to calm dogs, but again, I think a vet needs to be involved and the reasons for it need to be something that simple training isn't helping. I have an almost feral dog who was abused.
After I had her for 4 or 5 months, and saw I wasn't getting through to her due to her panic attacks and her fear of me, I and my vet resorted to using Prozac on her for 3 months. This calmed down her brain enough that her reactions to sounds and to me were less severe and her panic attacks came on slower, didn't last as long and were not as severe. Once her brain wasn't always on the edge of panic and her 24/7 anxiety died down a bit, I think she started to take in things and sort them out in her brain...and since then, I've made wonderful progress with her and she's learning to trust me. She still panics sometimes, but they are mild episodes compared to her before Prozac treatments....so even off the drugs now for some times, she's learned to regulate her fear some what.
This was a 5 year old dog when I got her...and she really needed calming....just due to the horrible life she lived for 5 years. I really doubt a puppy should need anything to calm it.
Giving a barky puppy a pill to "Calm" him is like giving a 2 year old Xanax because they're throwing tantrums and you don't want to deal with the noise. You're just silencing the problem, not dealing with it, and you will cause more problems for yourself and the dog.
Stormy said it well, but you really do need to find out why he's barking and what's going on. Calming aids are NOT the way to go. On top of that, "Calming aids" are typically for anxious dogs to calm them down, not for noisy dogs, or even hyperactive ones. I'm not sure what kind you mean but those are the ones I've seen most. Most puppies bark a lot. He might be barking for attention, to go outside, to play, for anything. It would be good if you took him to puppy classes or got a trainer if you're not sure of how to go about this so they could help you. I did see your puppy has parasites in other posts so maybe consult your vet about his behavior as well.