You've probably never had a switch phase battle before, so I'll explain. What happens is that the person who goes first can initiate a switch phase. If he does so, and the person going second declines to switch, then, it goes like this:
Player A Switches > Player B Declines > Player A Orders > Player B Orders
If, however, Player B accepts the double switch to gain type advantage, he forfeits his turn order and it works like follows:
Player A Switches > Player B Switches + Orders > Player A Orders
Sorry for any confusion if this is your first Switch=OK match!