Well, looks like there's another divergence into some absolutely terrifying timeline, and a far-future NovusCorp has sent you to fix it!
As the Chrono Legionnaires are admin-only, their goals fluctuate wildly based on what future NovusCorp wants them to do. 90% of the time, this means erasing the shit out of someone from history that shouldn't be there or are a major threat to the timeline (mainly players who name themselves after some particular historical figures).
Your standard objective will usually look something like this:
Using your TED device, erase Adolf Hitler, the Captain, from the timestream.
Chrono Legionnaires wouldn't be themselves without their future-tech timestream-proof equipment that each Legionnaire receives as their standard gear.