Now to authenticate a user out of band you can just have a shared secret that both users need to enter. You can share that secret via another channel in hope that it is not man-in-the-middled (or at least not by the same attacker). But then it is close to a trust on first use (TOFU) security: often "good enough", sometimes not (SMS).
Now if you're looking for cool ways to force the user to do it IRL, there are things like Bluetooth and NFC that would help.
There are also easier ways to do that, as ashitlerferad says, that we use for larger problems like mail and www: web of trust (WOT) and public key infrastructure (PKI).
This fails for two anonymous people... but that's "by design" of being anonymous.
It's almost like a tautology: by definition, someone who is anonymous has no identity to authenticate.
Central authorities: SSL, DNSSEC
TOFU: SSH, OTR etc
Web of trust: OpenPGP
Not sure, but I think Signal/WhatsApp a combination of central authority, TOFU and in-person 2 party verification, but no web of trust.
It can be handy to ask questions such as "Where did we go last Friday", perhaps even allowing for users to ask multiple questions for added confidence.