Website indicates no git push functionality, but readme.md does

[jkodroff]

From the website:

Currently there is no support for pushing changes to a mercurial repository because I have not needed that functionality, but patches are welcome :)

From the readme:

Push changes back to hg, optionally to a specific destination:
$ git-hg push [destination]

One of those two sources have got to be inaccurate. ;)