This article explains why macOS Spotlight Search or Finder cannot search My Cloud Home Private User Space.
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Description
Searching for a file or folder within the My Cloud Home Private User Space will not show any search results.
Spotlight Search and Finder support the indexing of locally mounted hard drives.
Private User Space
Content added to the Private User Space is only accessible using MyCloud.com, the My Cloud Home mobile app for Android or iOS and local network access.
For more information regarding My Cloud Home Private User Space, please refer to Answer ID 3009: How to Access the Private User Space and Public Shares on a My Cloud Home
Resolution
My Cloud Home Private User Space cannot be indexed and searched from macOS Finder or Spotlight Search. Refer to Apple on search options.