It looks to me like you are missing a MIDI synthesiser. Try installing FluidSynth or, if your package manager doesn't have that, search for 'midi synthesiser' or 'midi synthesizer'. I am not very familiar with Wine but that should work.
Failing that, you could run Windows in a virtual machine using
VirtualBox or
VMware and install NoteWorthy Composer within that. You would require a fairly powerful computer, though.
Best regards,
UltrasonicMadness