Archichik, welcome to the forum! I'm so sorry that your dad is battling both liver disease and diabetes. That is a rough combination. I think he is fortunate to be fairly stable, aside from the encephalopathy. You are probably right about too much protein. The only thing I can suggest is a diet free of beef and low in animal protein, in general. Beans and eggs can be good substitutes. Beans are carbohydrates, but like pastas they are complex carbohydrates which are broken down more slowly. I eat a lot of fresh fruit and veggies, but I'm not a diabetic.
When your dad next goes to see Dr. Araya, have your mom ask about a good diet for him, or referral to a nutritionist there.
Also, do continue to persuade your mom to come to this forum. It could be a great source of support and information to her.
Sorry I can't be of more help, but perhaps someone else here knows more about diabetes and can offer more suggestions.
Archichik, thank you for updating us on your dad's condition. Since his fall, maybe they will put the rails up on his bed so he won't be inclined to go to the bathroom alone. I hope his back will be okay. Good to hear that his ammonia has gone down.
I hope your mom will join us, but if not...please keep us posted.
So sorry to hear that, Archichik. I hope that they can get the ammonia down so he can go home.
Keep us informed.