Lt, Lt LabStation and kuraCloud have the same PowerLab compatibility as ADInstruments' LabChart 8 Software (due to the kuraCloud desktop app being based on LabChart 8, and therefore share the same PowerLab compatibility).
This means that at time of writing, Lt is compatible with all USB PowerLabs, except the SP- and ST- Series of PowerLabs, as is the case with the current version of LabChart (LabChart 8).
You can see a full list here https://docs.google.com/spreadsheets/d/1jCc1XGVL7Wri8S6pUIT3fW94DvZ8tCqr4criHjl3pAs/edit#gid=0