Sorry but asking which is better is like asking which is better: a car or a truck? They are both vehicles but serve different purposes.
Depending on which Photoshop Plan you purchased you very well may have access to both. When you go into the ACC app, what does it show? Can you access both LR-Desktop, Photoshop, and Lightroom-Classic? If so than you're good to go. If not than you can contact Apple and see how to update/change your plan.
Depending on what you subscribed to, you may or may not have access to Lightroom Classic.
If you want to change your subscription so that you have access to Lightroom Classic (in other words, you don't already have it in your current subscription), you can contact Adobe at https://helpx.adobe.com/manage-account.html and change your subscription.
You asked which is better. The real answer is, that depends. Do you want your images stored on your local computer hard drive with a local catalog, functioning like the "traditional" Lightroom? Or do you want all of your images stored in the cloud with access possible on all devices including your computer, mobile phone, tablet, etc. Lightroom Classic is the "traditional" Lightroom, Lightroom is the version that stores everything in the cloud. Lightroom does not have all the features that Lightroom Classic has, but for those who are really big on sharing images with others it is very popular. Which is better? That depends on what your needs are and what your expectations are.