Basically it's a cheap crappy unit, hence the crappy speaker connectors.
Obviously, someone must make them, but you never seem to see the same sockets used twice on different cheap units, and can never seem to find anything to fit.
Just fit a spring loaded speaker connector (we use loads of them at work, but not for speakers) and solder a couple of wires from the old sockets.
6 ohm shouldn't be a problem, there's little difference between 8 ohms and 6 ohms, and it's nothing like a set value anyway.
On a similar theme, where I used to work we had a customer who bought a Sony surround sound system - this also used some obscure speaker sockets, but more substantial than those. A week later he came back, and asked to order a new remote control, as he'd thrown it away in the packaging. We got him one, all was happy.
Then he came back again - and wanted speaker leads (he'd thrown those away as well) - checked on Sony, £130 for the speaker leads!!!!!!. In the end I soldered wires on the sockets for him, and fitted terminal blacks on the wires.