The war in the Caucasus theater of operations is outside the scope of my keen interest, so the information I have is not very much.
I can offer a section on the Georgian army from the book Deryabin "The Civil War in Russia 1917 - 1922. National Army."
An illustration from the book, depicting a Georgian soldier, you can see above - in a message from Prof.Witchheimer. This is a soldier in a white tunic Russian sample.
But it will be digitized text in Russian - to translate it yourself you will need a translator of Google.
This option suits you?
In the Armenian army, I still have nothing, except for those pictures, a link to that given above.