lsregister is there in my Mojave system. It’s a pretty complicated path. Are you sure you are typing it right?
See this Electric Light Company article for more details.
/System/Library/Frameworks/CoreServices.framework/Versions/A/Frameworks/LaunchServices.framework/Versions/A/Support/lsregister \
-kill -r -domain local -domain system -domain user
It still exists in Mojave at that path, and should still work, but I will admit that I have not tried it myself.
Thanks to all of you for your helpful suggestions!
I can’t reconstruct where, exactly, I went astray while looking for lsregister, but I’ve found it exactly where your URL suggests it had been all along.
Also, the command was successful, so macOS is rebuilding those “Open With” lists from scratch now, and as needed.