If an automation is triggered by a schedule, you can obtain the schedule properties via the Schedules list. https://docs.safe.com/fme/html/FME_REST/apidoc/v3/index.html#!/schedules/list
If an automation is triggered by a topic, how do you obtain the name(s) of the topic(s) that trigger that automation?
If an automation posts to a topic, how do you obtain the name(s) of the topic(s) that automation posts to?