There isn't very much you can do about morning liver dumps. They are natural and normal. The problem we have as Type 2s is that when the liver dumps, as it always will, our insulin doesn't work properly so it can't clear the dumped glucose into our cells as quickly as it should, and it can't enter the liver to tell it to stop dumping (as it should be doing). So the liver continues to dump.
This is down to insulin resistance and a fatty liver, and the more severe our insulin resistance is the longer it will take to clear this dumped glucose. All you can reasonably do is to avoid eating carbs in the morning. What you don't need is all that extra glucose from the carbs adding to the dumped glucose. This is why eggs are so useful as a breakfast.
Once insulin resistance has improved the morning dumps will be much less noticeable as our insulin will be able to work better.