Having a copy of Creative Cloud doesn't mean that your "files are synchonized".
You can only recover your files if you were making a backup, or if you go to a service to try to recover your files from a crashed hard drive.
Do you still have access to your old computer? in that case you can hopefully still either copy the files across to your new computer, OR sync them.
To Sync files:
Just to add: before syncing also ensure that all files that you need to sync are correctly placed at the Folder location. By default it is /Users/[username]