/usr/share/mate/desktop-directories/ is in mate-menus 1.20.0-2.
This file is owned by root:root, with mode 0o755.
..
/usr/share/mate/desktop-directories/mate-audio-video.directory
/usr/share/mate/desktop-directories/mate-development.directory
/usr/share/mate/desktop-directories/mate-education.directory
/usr/share/mate/desktop-directories/mate-game.directory
/usr/share/mate/desktop-directories/mate-graphics.directory
/usr/share/mate/desktop-directories/mate-hardware.directory
/usr/share/mate/desktop-directories/mate-internet-and-network.directory
/usr/share/mate/desktop-directories/mate-look-and-feel.directory
/usr/share/mate/desktop-directories/mate-menu-applications.directory
/usr/share/mate/desktop-directories/mate-menu-system.directory
/usr/share/mate/desktop-directories/mate-network.directory
/usr/share/mate/desktop-directories/mate-office.directory
/usr/share/mate/desktop-directories/mate-other.directory
/usr/share/mate/desktop-directories/mate-personal.directory
/usr/share/mate/desktop-directories/mate-settings-system.directory
/usr/share/mate/desktop-directories/mate-settings.directory
/usr/share/mate/desktop-directories/mate-system-tools.directory
/usr/share/mate/desktop-directories/mate-system.directory
/usr/share/mate/desktop-directories/mate-utility-accessibility.directory
/usr/share/mate/desktop-directories/mate-utility.directory