The HDF5 file you shared contains only one type of event, which is labelled 'HA-2020.05.01 (combined)':
/AsynchronData/TypeID = [44 44 44 44 44 44 44 44 44 44 44 44]
If you know the extra information you expect is available in this HDF5 file, then we need your help to find it.
Open file in_fopen_gtec.m
in the Matlab editor, put a breakpoint at line 83, run the import.
When the debugger stops, you can explore the variables and try to get other fields from the HDF5 files (other than /AsynchronData/TypeID) and adjust the code of the reader to get info you need.
If you find a solution, please post it here.