I dunno what you are talking about.
Time Machine backs up your COMPUTER, including every Mac-format drive you have connected to it, unless you deliberately exclude a particular Drive or Directory.
HOWEVER: Drives like the MyBook came with software, and the manufacturer suggested you install that software.
What that software does is to "spare you the annoyance of having to re-initialize the drive" from its factory set Windows New Technology File System (NTFS, the W is silent because there are no other Operating Systems) or similar unusual (on a Mac) format. Instead, the software they provided would simulate a MacOS drive inside an NTFS file for your Mac. This is called a sparse bundle disk image.
Windows drives are NOT backed up up automatically!
The downside of using the manufacturer's software is that if the manufacturer's software is not loaded, the Macintosh Volume may not be readable, or may not be writable. This means that in startup manager, Installer, and in Recovery such as after a data loss, the Macintosh Volume may not be visible.
The standard advice given here to all users, including novice users, is to discard the manufacturers software and NEVER use it. "Best Practice" is to erase the physical device when new, using only MacOS Disk Utility, and create the fundamental data structures needed for consistent, reliable use by MacOS.
some drives com formatted from the factory in Windows