It looks like you did not recover the Photos Library from your backup but an old version of the Photos.app.Your screenshot is showing that you have selected a Photos.app, that is sitting on your Desktop. The icon of the Photos.app is a circle of colors, looking like a flower.
If you moved the app from your backup drive to the Desktop, it will not work. The Photos.app is a part of the system and you can only run the version of Photos, that is installed by the current system in your Applications folder.
The Photos.app does not contain your photos. You have to find the Photos Library on your backup volume. The icon of the Photos Library is a fan of three pictures. Look in the backup of your Pictures folder for the Photos Library.
If you find a Photos Library library on your backup volume, launch the Photos.app by holding down the options key ⌥ and clicking the Photos.app in the Applications folder.
When the library chooser appears, select the recovered Photos Library.