Ban systems and how they look - TheEpicBlock/Discord-Unban GitHub Wiki
Discord-unban currently supports 2 ban systems:
Vanilla
When using vanilla Discord-Unban can only give limited information. This is how the ban info page looks:

DKbans
When using DKbans, Discord-Unban will properly log unbans. It'll put "unbanned via discord" as the reason. It'll also log the person who unbanned using the DiscordSRV link data.
Discord-Unban can also display more info with the ban info:

With DKbans, you can also put a number after your baninfo command (eg: !baninfo @TheEpicBlock_TEB 2) to get a page of history for a person:

LiteBans
Unsupported