Cannot create USB boot disc
I would like to install my current OS (Mojave 10.14.6) and also the subsequent OS Catalina (10.15.702) onto separate partitions of a 128 GB SanDisk USB stick to boot from to use legacy software with Mojave for when I upgrade my late 2013 iMac’s internal OS to Catalina - the latest OS my iMac will go to. I have downloaded and tried Disk Maker X Pro, and also followed various YouTube tutorials to create a bootable USB containing the 6.5GB Mojave 10.14.6.06 Installer and the Catalina 8.24GB 10.15.702 Installer, and, while Disk Maker X and Terminal both say a bootable USB drive has been created, I highlight a newly-created USB drive icon in the System Preferences Startup Drive panel and reboot, but my 2013 iMac just will not boot into either partition, and my Mac boots instead to its internal drive every time. Any solution please?
iMac 27″, macOS 10.14