I have always heard and used authz and authn (pronounced auth-z and auth-n). Bare "auth" typically was used to mean both, but IAM was more clear for that in specific contexts. E.G. you might say someone "authed" to indicate both authentication and authorization, and you might have an IAM team that handles both authentication and authorization.
I've seen https://en.wikipedia.org/wiki/AAA_(computer_security) because authentication, authorization, and accounting (audit trails) need to go together so often. You need to know who they really are and whether they're abusing the system.