Advice Needed!

If they do not know that the yummy treat from the sky came from their egg, you are okay. When they start breaking them and eating them, then there is a problem.

 

Umm... I really do not know if the egg eating issue can be fixed. Roll out egg boxes will keep the eggs away from inquiring chicken brains... Opa has one that he shows us how to build step by step. https://www.backyardchickens.com/forum/viewtopic.php?id=287684&p=1

computers are so useful.
You may want to try some ceramic eggs or wooden ones to keep the curiosity down. I get a toe poked into one every once in a while. When the girls were broody there was a line for the boxes and several hens per box. I got a lot of broken eggs then, and I have to assume some were eaten, however, I do not seem to have a problem with it now. I still need to make the roll out boxes myself.
(Time and money... )

 

If your absolutely sure they are, then you need to collect your eggs as soon as possible, which may require several times a day. There are a couple potential solutions, but I don't think any are guaranteed. I've personally not tried it, but I've heard of folks injecting hot mustard inside an egg and leaving that in the nest box. What I've also heard is getting lifelike glass eggs. Since they are so hard, the chickens realize they can't crack and eat them and will became disinterested. Of course you have to still collect the real eggs ASAP. Good luck.

 

I have cured a couple hens of that bad behavior using a couple methods, but it is time consuming. First get oyster shell out there and available to them, you have to clean out the dispensers every once in a while, they dont like the dust, they want pieces. Secondly, collect the eggs regularly, so they are not tempted, and third and best part, leave behind some booby trapped eggs. Since chickens cant taste capsicum, and I have seen them eat some pretty rotten things, it is not taste you are looking for. That being said, I use a compination of spicy horseradish mustard floating in tobasco sauce.

Blow out a couple eggs, and fill them with this awful stuff, and tape them back up and leave in the nest for a few days in a row, or until you dont see the eggs being eaten any more. Who ever is eating them, will get a really upset stomach, and usually within a couple days, they stop eating the eggs.

Now, I know every one is going to freak on this next sentence, but I am going to say it anyways. I give my hens eggs almost every day. (I dont have any egg eaters either) If I find an egg that I dont know how old it is, or one of the banty eggs, which I cant sell, and I get too many off, I toss them way up into the air, and when they land, all the girls come running! All the pieces disappear, and they gobble them up. I make sure they break when they hit the ground, but I have noticed, that if they dont, a hen or two will pick, then they all walk away. This fact reassures me that I am not creating egg eaters. Now, that being said, I am taking a chance, and if you are not comfortable with it, simply dont do it, I am only telling you this info, so you dont worry that one or two broken eggs eaten will turn every one cannabalistic!

I think they are smarter than we give them credit for. (sometimes)

As to a rooster breaking them open, that would be unusual here, I have found my roosters cleaning out nest boxes after the hen and chicks have moved out, but they are kicking everything out, not eating it, more like they are trying to get it ready for the next tenant! It takes a lot of effort to peck open an egg, its not a casual thing, unless the shells are soft. And Oyster shell and getting a bit older usually fixes that.

Good Luck!