It takes awhile, to be honest. You're right at the point (six week) when I became able to digest fats, and was also almost entirely grain-fed, just like you. You can begin to increase the amount of fat you're eating, as this will keep you fuller longer now that you are metabolizing it more effectively. When you do eat, add as much butter of other healthy fats as you possibly can to your food, so it keeps you full for at least six hours. I only eat once a day now, and it's about 70% fat on average. But I couldn't do that until about six MONTHS of eating this way. So give it time, eat more, and stick to the plan. You'll adapt.
To be honest, my hack when switching from grains to whole, real food was constantly having nuts to eat. I was a bad snacker, but I think it saved me from breaking down and eating cookies during that early time.
Definitely go for liver and bacon. Liver for all the B vitamins and minerals, etc. that will help you restore your tissues and stop the cravings. Your body is devoid of building blocks right now. I recommend a good half-pound of liver about twice a week until your body tells you to stop. You'll feel the nutrients' load, you really will. Bacon for the fat, choline, etc.
Steak, eggs, potatoes - fruits, nuts, berries and forage. Coconut milk and potent herbs and spices. Tea instead of coffee now and teeny amounts of kelp daily. Let's see how this does! Not really had dairy much, and gut seems better for it.