To copy files from a remote location to another remote location you can use a command line utillity scp.
Example:
scp -r local_folder/ remote_user@www.remotehost.tld:/home/username/backup_folder/
If you want to copy all files in local_folder directory just add a jokder (*) like this:
scp -r local_folder/* remote_user@www.remotehost.tld:/home/username/backup_folder/