I am not sure as we use external PGSQL servers but PGAdmin should be able to do this.  That way you don’t have to use Veeam Configuration Backup method.

@StevenA -

Below is what was done for SQL, but I wasn’t able to find anything for PSQL. 
 

You can probably contact Veeam Support to help you do what you’re wanting, or search for the PGAdmin tool to migrate your DB to a different storage location.

I’ve done the following with success. (Make a config backup first)

1. **Stop Veeam Backup & Replication Services:**
   - Go to `Services.msc` and stop all Veeam-related services to prevent any write operations during the migration.

2. **Backup the PostgreSQL Database:**
   - Use `pg_dump` to back up the database before moving it:
     ```bash
     pg_dump -U username] -W -F c -b -v -f "C:\Backup\VeeamDB.backup" edatabase_name]
     ```
   - Replace ` username]`, `adatabase_name]`, and specify the actual path for the backup file.

3. **Locate and Move PostgreSQL Data Directory:**
   - Locate the PostgreSQL data directory, usually found in `C:\Program Files\PostgreSQL\XX\data`.
   - Copy this data directory to your new desired location (e.g., `D:\PostgresData\`).

4. **Update PostgreSQL Configuration:**
   - Open `postgresql.conf` (usually in the data directory).
   - Update the `data_directory` parameter to the new location:
     ```plaintext
     data_directory = 'D:/PostgresData'
     ```

5. **Update Veeam Connection String:** (I think the DB utility can be used here but haven’t tried it for this)
   - Open Veeam’s configuration files to update the database connection string, if applicable.
   - Often, it’s enough to check the `Veeam Backup Service` config file in `Drive:\ProgramData\Veeam\Backup`. (default - C:\ProgramData\Veeam\Backup\VeeamBackup.xml)

6. **Restart PostgreSQL and Veeam Services:**
   - Restart the PostgreSQL service, ensuring it points to the new directory.
   - Start the Veeam services back up and test the connection to confirm the move was successful.

7. **Verify Database Functionality:**
   - Launch Veeam Backup & Replication and perform some basic tasks to ensure everything is functioning correctly with the new database location.

- Ensure that the PostgreSQL user account has the necessary permissions for the new data directory.