Since more of the population will die of heart disease instead of fatty liver, triglycerides are studied more for heart disease than for fatty liver disease, but it is a primary problem for both.
The Cleveland Clinic is famous for studying heart disease.
High triglycerides are a risk factor for heart disease. They contribute to atherosclerosis and raise your risk of heart attack or stroke.
my.clevelandclinic.org
Instead of limiting carbs in general, it is more specific, to limit refined carbohydrates (like refined white flour), and sugar. Also avoid alcohol and fats.
Whole grains, beans, veggies and fruit are recommended.
So when you try to eat for reversing fatty liver, you will be eating to also lower heart disease.
We eat to lower heart disease (esselstyn) and then it protects us from fatty liver. For avoiding fats, we only eat the fat that is naturally in food. No oils. Fruits are limited to 3 whole fruits/day, or as a serving, less than 1/3 cup of pureed sugar free fruit, or less than 1/3 cup dry fruit. No fruit juice. No white flour, no sugar. (We do have a couple teaspoons of honey per day which is not allowed.) Veggies, beans, whole grains, few nuts or seeds.