Hey Neo,
Using Sync object is an easy way to keep the position and variables of objects in a multiplayer game the same but its not built to do extra things like keeping the layout the same (unless you make it so by using an object as a source for your triggers) which I wouldn't recommend.
What you need to do is create a set of events that are shared with both the peer and the host.
Take another look at the multiplayer tutorials again, in particular the section that focuses on sending messages between the peer and host. I'm sorry its not very easy to explain but I hope it helps.