That looks like stranded 10/4 or perhaps a 4 conductor extension cord .. Their are wires for 2 speakers- likely one stereo pair. The red and black go to one set of lugs on the volume control and the green/ white go to the other.
make sure you connect the + to + and - to-.
There was likely a small amp/ player on the counter and it was plugged into the outlet
the lamp cord looking stuff could have been used to extend the colored wires or??
cheers, Mac,
edit: a couple of brands sell orange 4 conductor in wall wire. Not real common and likely 16/4