I guess I'm assuming you're interested in mid-1863 & onward [??]. If you're interested in the Arkansas Expedition against Little Rock, then here's Davidson's Cavalry Division:

First Brigade: 2nd, 7th and 8th Missouri cavalry regiments

Second Brigade: 10th ILLINOIS, 1st Iowa and 3rd Missouri cavalry regiments

Reserve Brigade: 13th Illinois, 3rd Iowa and 1st Missouri cavalry, and 32nd Iowa Infantry regiments

plus Batty K and Batty M 2nd Missouri Light Artillery, and 25th Ohio Battery