Since you have S mode I assume you have an automatic.

Every automatic car I've owned has suffered from automatic lag. It happens when you floor the car and the car hesitates for a second. You have a supercharger so I dont know how the plays into it,

I found the best method would be to press soft-firmly all the way until the pedal hits the floor rather than go for it all at once.
While the pedal is around the half-way point at around 3-4k RPM switch it over to the S mode to make the car hit redline. At this point floor it