what is the easiest way to adjust this, without digging my self into a bigger issue
If you don't quite understand how everything in your shifting system relates to each other and you don't really want to know, then the easiest thing to do is take it to a mechanic at your LBS. Otherwise you risk messing up something else. Especially since moving the H limit depends on which side the chain is rubbing and several other things need to be considered first IMO.
If this is a Shimano DR then I'd recommend you get the DM for it from the
Shimano tech doc site and make certain everything about it is installed and set up correctly. Watch the videos too. ParkTool makes videos that I'd trust. Some youtubers have no clue but sound convincing.