That's definitely a short throw RS2000 shifter and I just realized you posted pictures of the shifter & gearbox earlier on. Sorry for not checking. All looks good with the stick.
Someone pointed out previously that there should be a spring against which you push down to select reverse. I've seen a couple with springs, but most use the rubber boot "spring" which is what you have. It's the rubber boot between the with wide chrome base of the stick and the plastic cup the boot sits in as you move down the stick.
Holding the plastic thread you should be able to push it against the boot in an upward direction and the rubber boot will compress as the whole plastic section moves up. If you can compress the rubber boot "spring" as I've described, and I see no reason why you shouldn't be able to, then the stick's working fine.
As mentioned by others the notch in the stick faces the drivers side, so if you install the stick into the gearbox with the notch to the driver's side and screw the thread down all the way and you're able to select reverse without pushing down on the stick then the fork of your gear stick is sitting too low and the only thing I can think of that would cause this is your adapter spacer, which I see in the other photo you posted earlier, is mismatched to your stick, though I've never seen that happen before.
Have a look at this gear stick.
https://www.bearingkits.co.uk/photos/1.685162fordtypeegearboxtypengetriebe.jpg It is not a short throw. Look at your stick and you'll see that the plastic threaded section is higher (further away from the fork) that the one in the link. This spacer in your stick raises the pivot point of the stick, thus making it a short throw. The height of this spacer should be the same as the height of the exposed part of your spacer in your gearbox.
Assuming the exposed height of the gearbox adapter is the same as the spacer in the gear stick, and you can compress the stick as described then it should just work. If not, then something very strange is definitely going on.
Let me know how you go.
Chuff