Both admin and non-admin users can use Global Search or search and filter on My Workspace and Schedules.
Use Global Search to search by multiple asset types (all or more than 1), or by a single asset type. You can search by asset name only, since that is the only common field for all asset types.
Search by Workflow ID on Schedules and My Workspace (tabs My Files, Shared With Me, and Public).
Search by Owner on Schedules and My Workspace (tabs Shared With Me and Public).
Filter by engine AMP on Schedules and My Workspace (tabs My Files, Shared With Me, and Public).
Note
This filter only works only for non-admin users.
Filter by Type on My Workspace (tabs My Files, Shared With Me, and Public).