Try RSMigrationTool.exe and RSMigrationUI.exe from Microsoft
Here's a brief excerpt from the white paper link I included below, together with the migration tool download URL and Backup/Restore Encryption Key URL:
- Download the tool at http://www.microsoft.com/en-us/download/details.aspx?id=29560.
- Extract the files from the MigrationToo.zip file. You need the following two executable programs in the extracted files.
RSMigrationTool.exe: Command line utility that helps in exporting the reporting services artifacts.
RSMigrationUI.exe: GUI interface that allows the users to export the reporting services artifacts.
Export the SSRS items by using the RSMigrationTool.exe.
a. Open a command prompt as an administrator.
b. Navigate to the folder that contains the extracted RSMigrationTool.exe.
c. Run the tool with the following parameters.
RSMigrationTool.exe [-n native_report_server_url] –I
native_report_server_instance [-h] –f
migration_metadata_files_folder [-p password]
White Paper
http://download.microsoft.com/download/D/2/0/D20E1C5F-72EA-4505-9F26-FEF9550EFD44/MigratingContentBetweenReportServers.docx
Migration Tool
https://www.microsoft.com/en-us/download/details.aspx?id=29560
Backup and Restore Encryption Keys
https://learn.microsoft.com/en-us/sql/reporting-services/install-windows/ssrs-encryption-keys-back-up-and-restore-encryption-keys?view=sql-server-2017
Alternately try restoring the SSRS databases
And, if you want to go that route, you can try to restore the SSRS ReportServer and ReportServerTempDB databases to the target server. This example shows moving from SQL 2005 to 2008 SSRS:
https://learn.microsoft.com/en-us/sql/reporting-services/install-windows/ssrs-encryption-keys-back-up-and-restore-encryption-keys?view=sql-server-2017
As always, try all these things on a test/dev SQL Server first.