You can get handy tailstock die holders like this example from Arc Euro:

But I believe the Unimat tail-stock doesn't have the usual taper, instead using a non-standard M14 screw? If so, tools like the above can't be plugged in.
There's an alternative if you have an ordinary tail-stock mounted drill-chuck for the lathe. This type of die holder has a plain straight mounting rod with a hole bored through it These can be worked by hand by mounting them on a straight rod or pipe held in the drill chuck.

Photo above also nicked from Arc Euro's website..
Here's one I made earlier:

Similar trick with a spring loaded straight thingy works for taps:

Not really for cutting threads under power, I usually turn the main chuck by hand while pushing the die holder into the cut and stopping it from rotating.
Dave
Edited By SillyOldDuffer on 21/04/2020 14:03:41