I think you may be using version 2.0.2 from f-droid. The reason the newest version 2.0.7 is not on f-droid is because the source code was never published by the developers.
Last update was made on 2012, so I'm afraid they may never do. I hope
for San I-GNU-cio that I'm wrong.
A work around I came up with (if you want to keep using the free software version ;) 2.0.2), is to install "Hacker's Keyboard" (also available in
f-droid). That keyboard has an option called "Show
Permanent Notification" witch will add an icon in the notification area
that will allow you to make the keyboard show where ever and when ever
you need it, meaning, you can use it to make the keyboard show while in
Gmote.