Humalog in itself dors not make you fat or give you fatty liver. Eating more carbs then you needs for daily activities make you fat and gives you fatty liver.

Cut your carbs significantly. Drop some weight. It will burn some fat.

I know you want a magic pill. There is no magic pill.

I have changed my diet and follow the results of my blood sugar religiously. As you have mentioned, cut out all carbs, which I found out the hard way, luckily there some alternatives. God bless and thank you for advice. Joe