Sorry that you're facing issue with Lightroom and Photoshop on your computer running the macOS BigSur.
Not sure if I understand correctly, could you please elaborate and provide some more details about the issue? Also, which version of Photoshop/ Lightroom and the operating system you're working with? In Photoshop, you can check that by going to Help > System Info.
Photoshop 22.xis compatible with macOS Big Sur (version 11) with these known issues