I find measuring backlash easiest to do with the laser head with a bunch of circles. Between each circle I incremented the backlash compensation.
If nothing else, it better be the same on X and Y, since they should have the same geometry. If they don’t, maybe check the carriages for looseness internal.
Normal backlash is very small on this machine, around 0.02mm. That linked thread was after a crash, I got 0.12mm in X axis, requiring hardware fixing.
I’ve found backlash correction leads to issues for large values, there’s some bug somewhere but I can’t find it. Results in accumulated drift over long times, causing a few laser projects of mine to fail. More on that, here: Long Laser Project - Position Drift in X? - #21 by brent113, if you are interested in giving it some thought, still an open issue to me.