I'm experiencing the same issue with the app in Windows 10 desktop. If I close Evernote using the Close Window X, when I reopen from Taskbar shortcut or Start Menu it briefly shows the Home screen and then jumps to Shared with Me, no matter which tab I was on before closing.
If I exit the program fully (File --> Quit Evernote), when I restart, it opens and remains on the Home page. This is behaviour that came with v10.15.6 I think as it wasn't doing this beforehand.