It's a way of allowing music applications to talk to one another. Have a look in your manual, & see what the options are for connecting to other applications. If it supports Rewire, that's good; if not, there are other things to try. At the very worst, if you are just talking about pure MIDI data, then you can hopefully save SMFs (Standard MIDI Files) from Audiomulch; then you can open those in Logic without any trouble.
But give us a clue; what does Audiomulch do?