The conclusion of the mentioned systematic review with meta‐analysis: coffee consumption and the risk of cirrhosis (Alimentary Pharmacology & Therapeutics, 2016):
This meta‐analysis suggests that increasing coffee consumption may
substantially reduce the risk of cirrhosis.
They say coffee may reduce the risk of cirrhosis, not that it can treat it.
In essence, the recommendation is to eat a low fat diet with the goal of losing weight. In addition, avoid alcohol use, as you should with any liver issue.
There's really no magic to most dieting needs (there are some that require medical intervention, but your health professional should have gone over them). Rather it's more an equation: [calories in] - [...