You can't use the Office 365 Management API to search for audit data. You can only use the management API to collect your audit logs. You would then search those logs offline (e.g. you could import the logs into an SIEM and search in that).
Docs are here: https://video2.skills-academy.com/en-us/office/office-365-management-api/office-365-management-apis-overview
To clarify, the start and end time refer to the times that the audit events were made available to the management API. They are not the times of the events.