Thanks. Here's what I was seeing: I had the App Store open on both devices for Affinity Photo. Macbook status for app was "Open" while iMac status for app was "$24.99" like I needed to buy it again. Again on iMac, when I clicked on my name, Affinity Software was not showing up as purchased. I figured out then that the App Store on iMac was not in sync with my Macbook App Store.
So on the iMac, I signed out of the App Store and quit the app. I then reopened it and signed back in. I then clicked on my name in lower left corner. Volia! The Affinity Photo app was there. I clicked on the download button (Cloud) and downloaded and installed Affinity Photo on my iMac.
Thanks for responding. I hope my post helps someone else facing the same problem.