Cygwin to execute windows shortcut files (.LNK)

You can execute Windows LNK files from Cygwin using the cygstart utility, part of cygutils package, as follows:

cygstart [OPTION]... FILE [ARGUMENTS]

See cygstart --help for the options available.

The following should be enough in your case:

cygstart /cygdrive/e/Apps/uniserver.lnk