He missed out on action in 1862-63
Grenville Dodge commanded the force that came into NW Alabama from Corinth, Mississippi to screen for Streight's Raid in late April 1863.
Dodge didn't really do much - other than allowing his guys to burn everthing in sight. Houses, barns, food, forage, corncribs, smokehouses, a tannery, a mill, the LaGrange College, and a whole bunch of slave cabins. More on that later.
On arriving in AL, Abel D. Streight met up with Grenville Dodge at the bridge across Big Bear Creek, just across the State line into AL. Streight was intent on Rome, GA but he needed some help to elude Forrest. So he hooked up with Dodge and hatched a plan. Dodge would act as a decoy - to draw Forrest and Roddey's cavalry away from Streight's mule brigade. Dodge would distract them and Streight would sneak off to the southeast, unnoticed, and high tail it to Rome. It worked -- but only momentarily.
On
April 28, Streight headed southeast through Russelville intent on Rome, GA. Dodge and his men engaged Nathan Bedford Forrest and Phillip Dale Roddey's (with an "e") Confederate Cavalry at the Battle of Town Creek. Dodge hoped this diversion would give Streight a head start. The diversion did not delay Forrest as long as was hoped, but it marked the end of Grenville Dodge's screening activity. Dodge was done with diversion and headed back to Iuka, MS.
Back to the burning. 
Dodge's guys weren't content with just going back to MS.
On the way they burned everything in sight. They burned the LaGrange College - including the libraries, consisting of about four thousand volumes, the chemical and philosophical apparatus, a cabinet of minerals, and all the furniture. It was a beautiful campus. Especially for such a rural area.
Dodge's guys also burned
at least NINE homes -
including my 2xgreat grandparents' dwelling house, barns, milkhouse, corncribs, smokehouse, root cellar, and everything in them - plus FOURTEEN slave cabins.

Can you imagine? The UNION army burnng the houses of slaves? Yep. They did.
The above map shows the approximate locations of the burnings - LaGrange College and two of the homes that were burned. I already knew where the Cross home was located - it was my 2x great grandparents' place.

I also marked the location of the Newsome home. Mrs. Newsome (a widow) was my 2x great grandparents' neighbor. Other homes that were burned included R. King, Philip King, Hartwell King, ____ King, Emmet Vinson, Richard Pruit and one located in Tuscumbia (unidentified owner) with an associated tanyard.
Confederate nurse, Kate Cumming, included an account of the burning of the Cross place (my 2x great grandparents) in her recollections of hospital life. She served in many of the same hospitals where by 2x gg was a Surgeon.
Dr. Cross was a man of wealth, and when he joined the army left his family well provided for. They lived near Tuscumbia, in the northern portion of Alabama. When the enemy went there they took every thing that Mrs. Cross had: upward of seventy negroes, twenty five thousand pounds of meat, all her livestock, and a large amount of grain and a large supply of groceries for family use. After they took all of these things, they politely asked Mrs. Cross to leave the house, as they intended to burn

it. They would not give her time to get a change of clothes for her children. Her old father was an invalid, and had to hobble out on crutches. After getting through with her house, they went to a neighbors and did the same. The officer in charge made a great fuss talking; but as usual did nothing to restore what was lost. I have been intimate with this amiable family for some time, and their uncomplaining endurance of their wrongs has excited my unbounded admiration. I have never heard a complaint from any of them. Mrs. C (sic) tells me that, since she has lost everything nothing annoys her.
[
A Journal of Hospital Life in the Confederate Army of Tennessee, Kate Cumming, page 156.]
Captain Oscar L. Jackson, Co. H, 63rd Ohio Infantry had this to say about the burnings:
Our rear guard has this day laid waste with fire and sword, the country through which we passed. Houses, barns, cribs, mills, etc., all share one fate. At any time during the march, you could see two or three buildings burning. A great amount of corn was destroyed. On the railroad, near Town's Creek in particular, heavy amounts were collected for Bragg's army but the fire devoured it. The country is among the most beautiful I have seen anywhere and highly improved and cultivated, yet now it is a desert. The negroes follow us. We take everything in the shape of horses, mules, cattle, sheep, hogs and so on, eating what we need and driving a vast herd ahead of us....
I was over to General Dodge's headquarters this evening and talking to him of the way his rear guard served property. He said they thought a crib meant anything that would burn. The orders had been to burn any building containing grain (in order to destroy the supplies for the Confederate army).
I asked one of the 7th Kansas "Jayhawkers" how they could burn all buildings under that order. "Well," said he, "if a building has no grain in it, just put in a little."
[Oscar L Jackson, The Colonel's Diary, Page 92.]
To be fair to the Jayhawkers, I think my ancestors' place was burned by Frances Cornyn's 10th Missouri Cavalry aka the "Avenging Angels" - not the 7th KS. Not that it makes any difference who burned it. They were all under General Dodge. I'm sure you can understand why I do not hold a positive opinion of Grenville Dodge. In fact, I would not spit on him if he was alive today and caught on fire.