Yes when in the App Store I can download the apps but I get a message saying that I cannot complete the purchase as I must upgrade my operating system to the 11.1 or better. I assume that with Catalina that does not support the latest versions
Oh! I see what you're talking about.
Try going to your recent purchases in your Apple ID and downloading them like that. It should ask you to download the latest compatible version.
If this doesn't work, you have a bit of a problem, because you have to upgrade the OS, however:
You said it's a "Mac Pro 10,1" however there is no Mac Pro 10,1, so I'm assuming you're talking about a MacBook Pro 10,1 which is some flavor of 2012 Retina MacBook Pro.
This can not run Big Sur 11.1 natively, so you will have to use OpenCore Legacy Patcher (OCLP) to upgrade past Catalina.