In CentOS 8, and also in Debian 10, you can use polkit for this purpose. Instead of using beesu, use pkexec - in graphical mode, it's behavior is the same: it asks for a password before launching the program.
Create custom policy file /usr/share/polkit-1/actions/custom.policy like this:
<policyconfig>
<vendor>Custom</vendor>
<action id="exo-open">
<description>Run as root</description>
<message>Authentication is required to run as root.</message>
<defaults>
<allow_any>no</allow_any>
<allow_inactive>auth_admin</allow_inactive>
<allow_active>auth_admin</allow_active>
</defaults>
<annotate key="org.freedesktop.policykit.exec.path">/usr/bin/exo-open</annotate>
<annotate key="org.freedesktop.policykit.exec.allow_gui">true</annotate>
</action>
<!-- another actions -->
</policyconfig>
Then update your desktop shortcut for Root terminal like this:
[Desktop Entry]
Version=1.0
Type=Application
Exec=pkexec exo-open --launch TerminalEmulator
Icon=gksu-root-terminal
StartupNotify=true
Terminal=false
Categories=Utility;X-XFCE;X-Xfce-Toplevel;
OnlyShowIn=XFCE;
Name=Terminal Emulator
Comment=Use the command line
Path=