Would be helpful to know the part number of your Woodward control, based on the page you have provided it looks like you have a DSLC compatible unit, are you using a Woodward DSLC for sync control? Or are you just letting the ATS do a passive sync?
These are really good controls, but not very easy for someone not familiar with governing in general and how Woodward does their electronic controls, as you can see from going thru Watch Window, there are a lot of settings, and many are not active depending on how the configuration is setup.
So first off you need to make sure you have the correct manual for the control you have, there are a lot of 723 manuals, and there are a large number of "standard" configurations and if you have a custom control then it can even be more interesting.
So from your pictures, it appears something is driving speed reference up to 1039 RPM, so it is either getting a signal from a DSLC or from a device wired into one of the signal inputs.
Fuel Smoke Limit, is used if a manifold pressure sensor (typical) is installed and is used to limit fuel delivery until the turbo spools up, mainly used on propulsion units, setting at 140% usually means its just set out of the way to prevent it limiting fuel signal output.
Your settings show a droop bias, usually droop is controlled by a digital input (most standard 723's input A, if you have a custom configured unit could be different), a lot of single unit gensets either have Droop set to 0 in the configuration or have a jumper from B+ to input A to always keep it in ISOCH mode.
If this commissioned fine and has operated successfully for a period of time it is likely not a settings issue, these units just don't change their parameters, they pretty much work or fail, and I have found them to be very robust in a number of applications. Most failures I have seen have been due to power supply issues.
There is no user access to internal logic, on custom units there is a customer version of a programming tool, but it is expensive and used to require a training class to use, limited mostly to OEM's. It is possible you have some custom parameters since instead of driving a fuel actuator this is sending a signal to the injection control module. But without a part number hard to tell.
The only Woodward experts I know of in your part of the world is MAS Europe,
I think they have offices in Turkey and Pakistan.
MarCa Marine used to service GE diesel engines in your region,
not sure who else does in that part of the world anymore, haven't been there for a while.
Along with Watch Window Woodward had a trending software that was very helpful for troubleshooting, should still be available on their website.
MikeL.