How to Recover Easyegine and Wordpress Moved to Backup Folder in Ubuntu?

My server went down due to damaged HDD, the support team tried to backup all my data everything from /var/www/ and Mysql from the old HDD and placed on a new HDD with a fresh install of ubuntu under a folder named backup, now I don’t know how to restore now website.

My question are if I’m going to install easyengine does it delete the backup folder where my old data resides? Is it possible if I can do drag drop to restore my websites and database?

Please guys I really need your help…