The AUTH::status command is only used for Advanced Client Authentication feature functions, which would have been OCSP, CRLDP, LDAP, TACACS, RADIUS, and Kerberos in the old ACA module, and now just OCSP and CRLDP. There is some very
basic auth stuff in the HTTP profile (no pun intended), but that's not addressed with AUTH:: commands. There are at least TWO solutions to your requirement, however:
1. The Access Policy Manager (APM) module - has built-in support for various HTTP auth methods, as well as all of the old ACA auth functions. This module would make your implementation fairly easy.
2. A fairly elaborate iRule - we'd need more information to work from if this is your only option.