How to sync Home Videos on TV app from macOS Catalina 10.15 to iPhone?
In the absence of iTunes app in macOS Catalina, you can sync content to your iPhone using the Finder app.

The iOS device sync and backup functionality that used to be available within iTunes app in earlier versions of macOS are now available via Finder app.

For instructions, refer to this Apple support document:


Use the Finder to sync your iPhone, iPad, or iPod with your computer