I wouldn't be too anxious to start the liver just yet - I'd introduce more proteins first
Besides, Loki hates liver and kidney.. and anything else closely resembling organ meat. We freeze bits of it and he downs them frozen with some cream cheese
I also wouldn't recommend any kind of bone-in beef meals - maybe a beef rib for a rec bone, but my beef meals are all boneless; whether it's ground beef or just roasts, etc.
How many lbs (or oz) per day are you feeding right now and how did you calculate it? You can do the same for the other proteins you will introduce.
Unfortunately I don't have suggestions for eating of the chicken quarters - if you wanted, you could buy a cheap grinder and try grinding them up and seeing if he prefers it that way?