Search Data is managed and created by search components in SharePoint.
Symptoms
You're unable to migrate the search data from a source environment to a destination environment.
Details
ShareGate Migrate currently does not support the migration of your search data. This includes the following:
Crawled properties
Metadata from crawled items
Managed properties
Search analytics
Usage analytics
Search index
Search results
Search configuration data
Solution
There is no solution or workaround at this time.