Honestly I would just keep them separate when they eat; crate them if you need to. And also accept the fact that the one who came first very well may not be top dog. If you are reinforcing the top dog position to a dog who is not naturally bossy, you will prolong the problem.
I feed mine on either side of a kitchen island so they can't see each other. When I give large treats that need time to be eaten I either crate one or stand guard because the one eats faster and goes nosing in on the other.
I agree with Beth...mine can all eat side by side but I do have some issues(not food) with one. I also have a couple that prefer to eat in their kennels so I shut the door and let them "eat in peace". I also have one that eats at the end of the hall instead of next to the others. To use a leash on the aggresive one might help also but I don't think I would.
There is a lot you can do, but changing the natural order of which dog is dominant to who is not one of them, as you have found out. I would cut out all the ruff stuff on your part. When you resort to this it is because you have already lost the battle and the dog knows it. Keeping an eye on two dogs that may fight when eating is iffy, you can get distracted, called away, think they're fine simply because it hasn't happened in awhile, etc and it can lead to injury to people also as they try to break up an escalating fight.
In the short run I would set up a leash that permanently resides tied near the spot where you feed the dominant dog and clip that on before preparing the bowls. Feed them always in the same place and order you have chosen. Make each one sit before you put the bowl down, then you can progress to the word "wait" before you say O.K. This will introduce some structure. ( You can teach this to the dogs separately, in a room with the individual dog, the food bowl, and one kibble at a time as a treat ) Pick up the empty food bowls before taking off the leash and put them away. A large water bowl can be left out and shared.
By having the dominant dog leashed, you can now focus on the other one who needs to learn it cannot get too close. Say nothing, but if it gets close enough to the other one to elicit a warning growl from the other one, tell it 'GET OUT OF THERE" REINFORCING THE MESSAGE OF THE DOMINANT DOG. Pack order and dominance evolved to avoid fights, but requires that each individual know its place. You need to be top dog in your little [ack and you are NOT unless you have voice control of your dogs in any situation, and I don't mean by yelling.
When it comes to toys let them sort it out, but do not provide toys with food in them, rawhides or real bones. Nothing that is animal based such as hooves, bullysticks, antlers, pig ears and the like.
Obedience training classes are a must with any dominant dog. Look for a place where they know what they are doing, don't use harsh methods and plan on taking as many classes as you need to achieve that level of control and the kind of respect from the dog that is given to the pack leader. You will then have a more peaceable kingdom :-)
mine eat in their crates and any treats that take time are given in their crates also. Its a great system that goes along way in keeping the peace at feeding times =)
You can still do puzzles but one dog should be crated or out of the house while the other has time to play. I don't use treat puzzles but I do have some toys that I will only play with them one at a time. I think Jack would be more likely to use his mouth in reprimanding Maddie over toys than over food. I just got them a flirt pole and I only will play with one at a time.
Newton is obviously the dominant one and you need to respect that. You need to feed her first and respect the fact that she is alpha. You can't make a submissive dog alpha and your attempts to not allow Newt to be alpha are likely what is creating more of a problem. You are just confusing the dominance hierarchy by not allowing her to be alpha. She will continually fight and probably be more aggressive than normal if you keep trying to raise Woz up to a higher place than Newt. Sounds like the order in your house needs to be humans, Newt, Woz. Woz doesn't seem to mind being the submissive one and therefore you shouldn't feel sorry for him. The only time you should intervene is if Newt is acting like she may hurt Woz. Until you step back and let them sort it out for themselves the issue will just get worse and you will likely end up with a more severe fight than if you let Newt growl and assert her dominance and let Woz accept that. Doing things like feeding Woz first, and reprimanding Newt are just prolonging the problem and making Newt that much more frustrated and aggressive. Just let them sort it out, separate them for feeding times (but Newt should be fed first) and I bet the issue will resolve itself.
I'm sorry I misread your original post where you were saying you were trying to teach Newt Woz was alpha and that Newt gets reprimanded when she asserts her dominance. Reading all the further responses it sounds like you are doing most stuff right and it may be worth having a trainer come into your house to observe her behavior and help teach you the proper response or training methods. It's clear the dogs respect you as the leader. Most of the time a one time session with a private trainer will give you the proper tools to further the training and a second session may not be necessary. I think since it sounds like both dogs have basic obedience training a generic obedience class probably won't benefit you much regarding this issue. A good trainer who uses positive reinforcement can go a LONG way (think Victoria Stillwell vs Cesar Milan). I personally have never been fan of Cesar's methods for the same reasons you mentioned. Maybe for now feeding the dogs in a totally separate room may be necessary.