". . . I can no longer log in to my home machine from work . . ."
This could be because the IP address of your home router (the one assigned by your ISP) has changed. Look at what you have configured in the software you use and see if it matches your router's IP address. Alter your settings accordingly if it has changed. Remember residential broadband services are liable to change as WAN IP addresses are assigned dynamically. If it is the same then maybe your home computer's LAN IP address has changed. Unless you've configured a fixed IP these too are assigned dynamically by your router.
". . . or my work machine from home . . ."
Whatever you're using to make the connection may not be fully supported by the latest macOS. Check with the software developer and see if there's an update available. Alternatively ask your workplace IT department if they've changed something or any advice on what you need to do to support the latest macOS.
Alternatively re-install the previous macOS until the latest macOS is fully supported.
Good luck