The Cue Lists in LiveProfessor can be controlled using the Midi Show Control protocol.

To enable MIDI Show Control, open the Cue List Settings panel by clicking on the button in the lower right of the cue list.

Select the MIDI Device with the incoming MSC Signal from the dropdown menu.

Then enable midi show control and set the correct device ID, as defined in the sending device.

Note that the list must be Armed for the MSC to work.