While using the Trados GroupShare Server-Based Translation Memories, is there a possibility to run the re-index Translation Memory task and recompute statistics in the command line app?

There are various automated tasks to maintain the Translation Memories, as described below:

1. During the nightly run of the Translation Memory maintenance task, a re-compute fuzzy statistics is already happening automatically;
2. For a full Translation Memories re-index task, there isn't currently an unattended, automated way included. This is mainly to ensure that Translation Memories will not get locked out from usage when users need it (the Translation Memories re-index job will practically render a Translation Memory unusable) and to not block too much the needed Translation Memory (performance-wise) resources during production times;
3. The Translation Memories re-index job is very similar to a Translation Memories import, during which each TU is being "rewritten" to the DB - e.g. a 1 million TU TM can typically take ~4-6 hours to complete the re-index task.

Via the command line, some tasks like the re-index Translation Memories job can be done as follows, using Windows Power Shell:

With the use of Windows PowerShell, you can make HTTP requests - by making a simple REST API (http) request to the /api/tmservice/tms/{tmId}/fuzzyindex/reindex endpoint.

For more detailed Windows Power Shell command options, please raise this topic/question on our Communities page.
The Translation Memories Maintenance task in Trados GroupShare.
Trados GroupShare - How do I make use of the API using Postman ?