No expert but I don't think you are supposed to refreeze. (Although I did when I wanted one slice of thin beefsteak for a sandwich.) Cooking and then freezing the excess would be my advice.
I would eat what you can and bin the rest.
I can't imagine it will be the best tasting stuff after being defrosted, cooked, frozen then defrosted again.
Cooked liver in onion gravy freezes and defrosts perfectly. I'm the only one in our household who likes liver so that's what I always do.
Treat it just like any other frozen raw meat...thaw it, cook it, freeze it, thaw when needed. Yum, I could finish up the leftovers for you Voltage :)
Why is it that Old Geezer offers an answer yet does not have a clue what is going on in the real world
You can cook liver after it has been frozen and if you have any left over you can cook that then refreeze it