Because of the peculiarities of the theater of war, the war consisted mainly of skirmishes in the forests and mountains (the ambush mountaineers), the storming of Russian forts mountain warriors, Russian troops storm the fortified villages of the mountaineers, mountaineers attack on the Cossack villages.
These sets of figures is enough to start the game. Sometimes Russian (even more rare - mountaineers) was used artillery - but in the mountains it was quite rare (there were no roads - only narrow trails). The artillery was in the Russian forts. You can use the Russian artillery on the Crimean war.
But as the war went on for a long time - the uniform of the Russian regular army in the Caucasus changed several times. Uniforms in which the Russian infantry dressed, was in use in the 1840s