Hi! probably by generating and downloading some sort of diagnostic file(s)...I don't believe (I have an HPE OfficeConnect 1920S but not with Transceivers - you call it module but it is a Fiber Optic Transceiver - so I can't tell) the GUI exposes information like the Transceiver SKU and its Serial Number (as example)...but I can be wrong about that.
I bet the fastest way (if your network can support a brief interruption on that uplink and if removing the Transceiver doesn't generate a major outage) is to remove and look at it. It's brutal, I know.
OTOH you should have used a supported and genuine Transceiver so it should quite easy to understand which SKU it has and, consequently, understand if it could be supported on the switch you want it to be relocated.