Save Rush Project Assets to Creative Cloud Library

Hi!

I'm new to using Adobe Rush and totally confused how Rush and Creative Cloud work together. I have created a project in Rush and have a number of photos in my project assets, as well as an audio file. When moving between mobile and desktop, most of my project assets were replaced by red exclamation marks. I read many comments from others who experienced the same issue, and fixed it by downloading the missing files and reconnecting them. But if I move to another computer the same issue happens again. I assume I want to save my Adobe Rush project assets into creative cloud libraries - but can't find anything on how to do so. I can see how to get media from creative cloud to Rush from the media browser, by selecting creative cloud files > adobe > assets and opening the garbled folder that appears there. Not all of my media is there, however. If I go to Creative Cloud and look at my files, there's nothing there - it says I have no cloud documents. If I open Synch folder I see the same garbled folder I can see in Rush. It all seems a bit of a mess. How do I get assets from Adobe Rush into a Creative Cloud Library of my choosing, and from a Creative Cloud Library that I create into Rush?    

Thanks!

Ed.