I have recently ported all of my applications from an old MacBook to a new one and now Lightroom 6.0 has a license issue. It states that I have a trial license, however, I have purchased a full license to the software. Every time I click on Lightroom now, it states that I need a newer version of Application Manager, but the link it provides isn't active. When I called support, they offered that I can buy a subscription, which obviously does not solve my issue.
How did you "port" the application? I believe you have to install the Lightroom 6 application on the new MacBook, and that should also install the proper version of the Creative Cloud Application — if indeed LR 6 can be installed on your new Mac (I don't believe LR 6 can be installed on Big Sur or Catalina)
Indeed, no way to install LR6 under Big Sur or Catalina. Now if they were installed previously from an older OS that supported those old 32-bit installers, sure (well they do on my Intel Mac), on M1, no idea.
Author “Color Management for Photographers" & "Photoshop CC Color Management" (pluralsight.com)