The way I did it on mine was to use a cheap laser pointer. I fixed it to the table, in my case by making a little 3D printed plastic holder with magnets, but any clamp will do as long as you can keep the button pressed and the laser lens over the centre of the table.
Shine the laser across the workshop (as long a dimension as you can manage – and measure the distance) onto a piece of white paper on the wall. Mark where the dot hits the paper. Set the backlash compensation to zero. Traverse the table 10-20 degrees one way, and traverse it back the same angle. Measure how far the dot is from the original mark and you can use trigonometry to calculate the backlash angle. For example across a 3 metre workshop 1 degree of backlash would be 52mm – 1mm of backlash would be 1 minute of arc.
An easier way (particularly if the controller wants the backlash in steps) is to repeat the above, then use the jog function on the controller to move the dot exactly back to the mark. The number of jog steps required to get it there will give you the backlash. Test both ways and average.