My chickens eat everything except for a couple of herbs (marjoram, chives & curry plants). They ate every succulent, daylily, shrub, etc. we planted near and on their coop (we did a green roof). Next year we will be replanting the green roof and screening it off. They ate my tomato plants, sweet potato plants, strawberry plants. Voracious. Now all of our garden beds are screened in and/or in the front or side of the house. Good luck!
Also, interestingly, I threw some basil in there the other day and they didn't touch that - thought they might enjoy it when we pruned. Nope. So I'm thinking herbs might be the way to go. Now that I think about it - they didn't touch our garlic plants either.
Interesting that they didn't eat the marigolds - I didn't try those as we don't usually bother with annuals but they look pretty!