I would suggest you use Akeeba Backup to create a full site backup. Then download the .jpa file it creates to your PC. Upload the .jpa file to the folder where you want your site to be on the production domain server together with a kickstart.php file. This is used to extract the .jpa file and can be downloaded from https://www.akeebabackup.com/.
You should probably read the Restore instructions on https://www.akeebabackup.com/ before going further. If all goes to plan your test site will be entirely duplicated on your new server. I have done it many times including Teline V sites.
Good luck. Don’t hesitate to ask if you are not clear about the process.
Tim