Hello,
because MPC5777C uses e200z7 core, which was used in previous MPC5 microcontrollers, there are two types of watchdog. Legacy core watchdog and current software watchdog.
In fact, these timers are very similar, but I recommend you use SWT watchdog instead of core watchdog, because SWT is memory mapped and it is easier to configure.
Please check the example below:
Example MPC5744P SWT Short reset GHS614
Remember, there is no short or long reset in MPC5777C. Please see the figure below:

Regards,
Martin