Liver Flushing definitely helps with a fatty liver. I had one.
Most vegan diets do not help your liver very much, you need raw fats to help your liver.
What do I mean by raw fats? Avocado, 1-2 tablespoons of OO (Olive-Oil) (or some other extra virgin oil) per day, raw coconut cream (from the meat of the coconut). Those are all really excellent plant based raw fats.
The best raw fats come from the animal kingdom, raw eggs, raw milk, raw butter. When I was vegan, my liver wasn't getting any worse, but it also wasn't getting any better. My liver needed raw animal fats to heal.