No you do not reverse the servos by "switching some wires around"

Please define what you mean by "reversed".

Are you saying that the control surfaces move in the opposite directions that they are supposed to?

Or do you mean that when you move the aileron control on the TX, the elevator moves instead?

For the former, there is a reversing switch somewhere on the TX. Mine had a bunch of switches on the front.
Some have them in the battery compartment.

For the latter you need to exchange the elevator and aileron connectors on the RX.

That's it.