Best question for clarification is are they regular rank and file Eagle Security guards/police, or are they irregular assets working by contract (Shadowrunners doing jobs) for the company?
If it's the former, then I imagine they'd be doing regular police and/or we uroty work, sort of an anti-shadowrun type of thing, maybe guarding a site and protecting it against irregular assets, or doing no - knock raids against some of those gangs, etc.
If they're still shadowrunners just working by the individual job for Eagle Security, then they'd still likely be doing runs, but they might take on a more preventative aspect, working "with" security as opposed to against them. Or maybe regarding runs against competitors, etc. Usual stuff.