Hehe, now, there's a challenge!
Well, these things were a silly pseudo-feature to begin with, so they weren't exactly subject to a strict DIN standard 😉
But, as far as I can remember, they have
- fixed 5 V supply, hence the Molex adapter.
- Some way to tell them when Turbo is on or off.
Now, with a certain case I used to tinker with before the last three wars, the only second connection was to "Turbo Led" header on the motherboard.
So, instead of lighting a LED, it was telling the display to switch from one preset mode ("20" MHz) to the other (the actual 40 MHz of the Am386...).
Which was fun because you could attach it to the "HDD active" LED connector and have a large, bright, annoyingly flickering display.
Now, that is not your type of display.
That one seems to attach the button and pass that signal on to the mobo, right? At least that's what I take from btn_back if that black yellow cable is the original state.
So, to be borderline constructive, ideas for less foolish try-and-error:
I see several parts designated "+ and -"
This being a logical universe, attaching 5 V to any of these could not hurt.
If in doubt or as a last resort: There seem to be several markings on the PCB, yet covered by componenents, plugs, that resistor.
You could take a soldering iron and do some exploratory surgery to discover those markings.
Also, the one right place for the fixed power supply should induce that thing to light up.
That turbo button is usually closing the curcuit for the "turbo on" mode. You can check it, if the button is in the depressed or rear position, the wires should be shortened.
So, without those attached at all, the display should show whatever the previous system deemed the "low" state.
So, "lo", 33, 20, 16 or any number lower than the actual cpu frequency - if still known...
Then, where does that turbo button go?
The place for the turbo LED should not have current, Turbo being off. So, I assume you have a voltmeter.
If only one place has 5 V in that state, chances are, that's the place for the button.
Merely a hypothesis, so shorten that at your own risk. If I'm right, it would switch the display.
One more idea: IIRC, those AT front panel connectors DID have some order to them.
One of those being, one of the cables was 3 wires instead of 2.
Think, that was the turbo switch, maybe because the switch would go from 1-2 to 2-3 because motherboards couldn't quite make up their mind whether "open" meant "turbo on" or off, but the depressed button was always supposed to be the "on" state, so you could chose how to tell the mobo.
That in case you can figure out where the 3 button cable goes.
But, as I can see, that yellow-black cable seems to be the turbo button.
I checked both AT cases with displays I have here, bot adhere to the color scheme in the picture, should be white, black, orange.
Sorry, your case is weird. Next time, take a phote before disassembly, will you?
Fingers crossed that the crowd will come up with a definitive answer!