Hi, does anybody know if the LI LUT converter can do conversion between different systems like Resolve to Nucoda or vice versa? We tried a couple but non of them do a very good job.

Yes, LightSpace will do such LUT Conversions.
But, you need a paid for license.
As the info on the website says, the demo version will add a watermark into any exported LUTs, which will render them unusable.

Steve