Currently, when querying "My projects" or "Favorite projects", we can provide paging (default to 100 items per page, configurable), however, we cannot request filtered data.
If a user have more than one page of projects, it is required to download the complete list of projects before we can start searching, making the available paging process not useable in this scenario, and potentially requesting far more data than what the user really needed if the search was specific enough.
https://developer.bentley.com/api-groups/administration/apis/projects/operations/my-projects/