Is there a way to extract or pass the parameters of a workbench to the notification of a failed process?

I haven't really used automation's so this might be an incomplete (or even incorrect answer). You'll want to capture any errors and report them out through a writer so the workbench doesn't fail. I'd suggest looking at the FME Server Automations Writer, this should be able to pass through an error messages to the emailing portion of the automation

Thanks @hkingsbury​ . I changed the workflow a little bit and accomplished the same thing a different way. I am still using automations for notification.