If PPP negotiations fails (ie. due to problems with authentication or lack of account on RADIUS server) session stays in transient state for some time. You can list those session
bras# show pppoe summary
PTA : Locally terminated sessions
FWDED: Forwarded sessions
TRANS: All other sessions (in transient state)
TOTAL PTA FWDED TRANS
TOTAL 5678 5673 0 5
GigabitEthernet1/0/0 3863 3862 0 1
GigabitEthernet1/1/0 1815 1811 0 4
It’s possible to identify MAC address for modems that couldn’t establish sessions
bras# sh pppoe ses | i LCP
3095 28818 000e.5499.722d Gi1/0/0.525 1 N/A LCP
3548 28669 001f.a45c.7a4d Gi1/1/0.527 1 N/A LCP
13370 28817 0013.3319.316d Gi1/1/0.527 1 N/A LCP
6372 28813 0013.3199.751e Gi1/1/0.527 1 N/A LCP
6018 28812 0019.c8a3.3d66 Gi1/1/0.1598 3 N/A LCP