I understand but my servicer told me that engins that runs on petrol doesn't have radiator inside the gearbox. the only cool the ATF in main engine cooler (radiator). only diesel vehicles has the radiator inside the gearbox. So I have to change the main engine radiator.

For the Omega, there are no differences in the gearbox, diesel or petrol. Box is the same inside. ATF is always cooled in the rad
Later V6s have a separate radiator for the ATF just in front of the main rad. You can see the 2 ATF pipes crossing over the top of the coolant rad. on such models.
I would syringe some ATF out into a small glass jar and inspect it. If there is debris in it, it means a friction surface in the box has broken down, so the box is probably shot. You can also check for signs of liquid contamination. I would expect it to look milky if it has water in it. If it's just plain brown it's friction material from the box. Try dipping a hot nail into it and see if it sizzles (water boiling off).
I'm assuming that the ATF was replaced when the gearbox was changed, so if it's got badly contaminated in 24k miles it doesn't bode well for the condition of the gearbox, I'm afraid. :-/
Kevin