I think it might be yellow bluestem, actually.
I don't have goats right now, but I do have pigs, and they are on pasture. That photo is from a few years back. It is a decent site for rotational grazing, that is what we do here.
The reason I was wondering what type of grass it was is that I want to make
hay this summer/fall with it, and it seems like it is a decent hay species when cut at the leafy stage (as opposed to the stemmy stage). Fresh, leafy yellow bluestem has 7-10% protein. I think I could get a decent 2-3 tons per acre, if I get on it and watch things closely.
Now, 7-10% protein isn't great, but it isn't bad, and it is better than corn or sorghum stover.