You have some options to obtain that information. The first thing I would do is contact the vendor (or even better, the brand/manufacturer of your PU Resin directly), since normally they tend to have all the information, upon request from the client.
In case this fails, normally, the molecular weight is measured using a technique called GPC, and the following article might give you some insights around this: https://www.shimadzu.com/an/service-support/technical-support/analysis-basics/basic/55/55intro.html
Finally, if neither both of the options are useful for you, then you might find around some experimental equations that correlate the mechanical properties with the molecular weight, but please use these with caution, since they are widely dependant on the polymer and the experimental conditions employed to obtain them.
Just as an observation: you will be able to measure the molecular weight of the PU is this is linear. If this is a crosslinked network, the molecular weight is infinite by theory, and you might only estimate the molecular weight between crosslinks.
Hope this helps!
PS: this also might give you some insights as well: https://www.researchgate.net/post/How-can-I-predict-the-molecular-weight-of-the-final-PU-foam