You really need to know the pitch of the Leadscrew on your lathe. You may well need this information at some time in the future.
What follows may be teaching granyy to suck eggs, but is intended to be helpful, by explaining the basics..
In essence, to cut any thread, you need to set up a gear ratio which rotates the Leadescrew at such a rate, relative to the Chuck, so that the tool travels the correct distance for each revolution of the Chuck.
If you are trying to cut a Metric thread on a lathe with an Imperial Leadscrew, or an Imperial thread on a lathe with a Metric Leadscrew, , the gear ratio will need to allow for the fact that there are 25.4 mm to an inch. (Hence you will see references to 127T gears. 127 = 25.4 x 5 ).
Putting simply, if the lathe has a Leadscrew with a 3mm pitch thread, to cut a 3 mm pitch Right hand thread, the Leadscrew needs to rotate at the same speed as the Chuck.
If you wanted to cut a 1.5 mm pitch thread, the leadscrew would need to rotate at half the speed of the chuck, to move the tool towards the chuck..
Chuck makes one turn, Tool moves 1.5 mm. So using changewheels rather than a norton gearbox, the mandrel would carry a gear with, say, 30T, with a 60T gear on the Leadscrew, with an Idler gear to fill the gap, The Idler will not affect the ratio, so the tooth count will not matter, as long as the gear mesh is correct, so could be a 55T if it transfers the drive correctly..
If you wanted to cut a Left hand thread, the gear train would need an additional Idler, to reverse the direction of rotation of the Leadscrew, relative to the chuck, to move the tool AWAY from the chuck
The tool has to be ground to the correct angle for the thread being cut, 60 degrees for metric or Unified threads, 55 degrees for Whitworth or BSF threads, and to have the correct clearance angles ground into the flank,
If everything else is correct, are you trying to take too deep a cut? You will need to take several mpasses, with the depth of cut decreasing as you go in deeper. A M20 x 2.5 mm thread is 1.5336 mm deep,tol so may need a lot of shallow passes, and should have a 0.3125 mm flat on the crest of the thread.
As an example, the Cri Dan industrial screw cutting machines, took at least 20 dry passes to cut a 1 inch BSW thread. The thread depth is 0.080" (so a little over 2 mm ) with the swarf coming off blue at each pass..
You might start with a 0.1 mm DOC but as the width of the cut increases, the depth needs to decrease.
HTH
Howard.