Your not going to get much of a response because officially it’s not possible to do it from My Cloud to My Cloud Home. The first gen single bay My Cloud does not have a “sync” feature within the My Cloud Dashboard. All it (first gen My Cloud) has is Safepoint which will backup a first gen My Cloud to another first gen My Cloud. For more information on where My Cloud Safepoint can backup to see this knowledgebase article.
Unofficially who knows. The My Cloud Home is not the same as a My Cloud and has very limited options for accessing the device. Unlike the My Cloud line it doesn’t appear you can access the My Cloud Home at the firmware level using SSH which would be one way to sync content from a single bay My Cloud to another NAS or My Cloud device via SSH.
If the My Cloud Home supports FTP it might be possible to somehow configure (using SSH) the first gen My Cloud to FTP data to the My Cloud Home. Note that FTP is insecure and data could be captured.
Check to see what third party apps the My Cloud Home supports to see if any of those apps support backing up or syncing data, then see how it performs those actions to see if you could possibly have it pull data from the first My Cloud.
Chances are you will need to use a computer or similar device with some sort of sync/backup software to copy data from the My Cloud to the My Cloud Home. For example one could use Free File Sync (https://freefilesync.org/) on a computer to sync or mirror data from one hard drive, NAS drive location to another.
Also didn’t see if you mentioned if both devices are on the same local network. Trying to backup/sync data from one My Cloud to another NAS or My Cloud device located in a remote location adds even more complexity and issues that may prevent it from being done.