Your question may have referred to what you see on the screen after JRiver rips a CD. You are probably looking at the "Recently ripped" playlist that JRiver can switch to when it finishes ripping a CD.
You can control what JRiver does after ripping a CD.
Tools/Options/CD, DVD & BD
Under "Rip complete options", you may have "Show recently ripped playlist after ripping checked". If you uncheck this option, JRiver will not jump to show this playlist after each CD is ripped.
There is a skill you need to acquire: when JRiver does something you don't expect, you need to look at the menu items and in particular the Tools/Options dialog.
At a more basic level, I think that you may not understand how to use the view and playlists available in JRiver MC. I have to go off to a meeting but if you are interested, post another message and I'll try to get you started when I return.