The cPanel access log will always be in "GMT -0000".
Please fix it.
Cpanel write domains logs in correct GMT format, but own logs (login/logout logs in to CPanel) wriet in UTC format.
If you want to analize logs, you MUST KNOW AND REMEMBER what timezone
[/usr/local/cpanel/logs]# tail -n 1 access_log
IP_ADDRESS - *SOME INFO*
[08/24/2016:12:58:05 -0000] "SOME INFO"
The Aug 24 15:59:39 MSK 2016