Storing 2FA codes is just the beginning. Bitwarden aims to add defense in depth to authentication.
Bitwarden Authenticator is a standalone app that is available for everyone, even non-Bitwarden customers.
In its current release, Bitwarden Authenticator generates time-based one-time passwords (TOTP) for users who want to add an extra layer of 2FA security to their logins.
There is a comprehensive roadmap planned with additional functionality.
I use Authenticator on Linux. I'm not sure what OS you use, but perhaps there's another, TOTP is a pretty easy protocol to implement (it's basically just a hash of a key and timestamp).