My backup process is to connect a USB drive to my PC, and run a simple xcopy-based script to copy the data I want from the MyCloud to the USB disk.
I’m sure there are backup programs that will make this a bit more user friendly for you; WD’s SmartWare, perhaps (I don’t use it). Commercially, there are things like BeyondCompare.
Essentially, the MyCloud is just s disk connected to your Mac, so you should be able to run any backup program you can find, and tell it to backup data from one disk (the MyCloud) to another (the USB disk), configured however you like. I’m assuming your Mac still has a USB port; I know the Ghost of Steve Jobs thinks USB ports are no longer necessary on computers…
[edit] as if by magic, this old thread just re-appeared…