based onto "Veeam Support - Case # 07592141 - Mount failed: Failed to start PostgreSQL service during staging DB export for EDB db types" I would like to create a feature request for it!
The outcome of the case was, that Veeam does not support PostGreSQL-EDB product. Further we did see unknown mounting issues during a PGSQL-EDB-DB export operation by using a native pgsql staging device.
Your request has been noted, but I cannot provide ETA. As a workaround, you may perform Instant Recovery and export a specific database or all databases using the native PostgreSQL tools, for example pg_dump.