I would not like those treats for the bunnies- those are based on the experience of feeding a 1000+ lb animal. There is already apple with natural sugar and the molasses would just add even more. The American Pet Diner rabbit treats that I have from the BB store- do not have any sweetner other than the fresh fruit.
I have baked treats for horses- first the horse I leased and now the mare I bought. One way I have found to keep them “drier” and more hard treat like- is when you finish baking them- turn the oven off and leave the cookies in the oven for a few hours or even overnight. The residual low heat removes more of the moisture. This is great for the summer when moist cookies are likely to spoil very quickly in a barn environment. In the winter when it is cold out- I don’t worry as much since leaving them in my tack bin is like having them in a refrig!
I looked at horse cookie recipes online- very similiar to what you have found and did my own adatptions to them. I used canned pears as an ingredient since I have tons of homemade canned pears from my Mom. I used other dry ingredients other than flour like ground flax meal and stabilized rice bran. I looked at other expensive horse cookies to see what made them better than the run of the mill cheap horse treats. I like the idea of using hay pellets OR their own grain and using a food processor to make them into a dry ingredient. Or I have baked muffins for my parrots and I soaked their food pellets in the wet ingredients for quite a while to make them mushy and able to blend into the other ingredients.
As long as you end up with something that is a dough like consistency- you can bake it. And the nice thing is that horses, parrots, dogs NEVER complain about the texture- if it is too dense, etc. 
Though I did NOT like my experiment with crushed candy cane at Christmas time. i used those as a sweetener instead of molasses and when I baked them and left them in the oven- it melted the candy cane bits and kinda “carmerlized” the bottom- making them look burnt even though they were not. The horses loved them- but I did not like what they looked like- so I would probably go with a peppermint oil instead next time.
I really have not done much for baking for the bunnies as even with 3 they would get such a limited amount- and horse, dog and parrot cookies are not loaded with sugar and taste bland (compared to human cookies) I worry too much about the bunnies and even only getting a tiny cookie a day- it is easier for me to feed APD or Oxbow treats. You could always make the dough- pull out some for the bunnies- and then add molasses, etc and make the rest of the dough for the horse treats.