Browser Extension always requires full login

Is there any way possible or cookie to let the extension know that the browser I’m using should stay authenticated between browser restarts?

This is a function of LastPass that I didn’t realize I’d miss. If I’m using the browser on a secure machine then it would be nice not to have to enter the full master password + TOTP token every time the computer sleeps or the browser restarts.

Does this functionality already exist?

No this doesn’t exist. The extension doesn’t have a secure way to store that data, so this feature is not supported.