They say that Costa Rica has no
native grasses (except a few species of bamboo) - probably because it was all forest. Honestly, I find it hard to believe since grass seed migrates. I would tend to think that there was very little grasslands.
I would be careful with some of the grasses out there, since they will kill
trees (brizante is an example, no idea if I spelled it right). It is so aggressive it chokes out the trees - probably the grass you are talking about, since here it is called Brazilian grass, though it comes from Africa. It is easier to introduce grass, than get rid of it.
Goats don't need grass, they prefer browse, wide leaf, etc. They are very healthy on a diet of underbrush, but will starve to death on just grass, so I am told. All I know is that my goats are very happy living in the under-story of my forests, and produce lots of
milk, with very little feed. In fact, the only feed they get, is to keep them occupied while I am milking them.
Goats also are more efficient milk producers for their size.