From The Augusta Chronicle [Georgia] as reported in an 1864 issue of the New Orleans Daily Picayune:
In their route they [Sherman's troops] destroyed, as far as possible, all mills, cribs, and carried off all stock, provisions, and negroes, and when their horses gave out they shot them. At Canton they killed over 100. ... All along their route the road was strewn with dead horses, Farmers having devoted a large share of their attention to syrup making, there is a large quantity of cotton ungathered in the field, which was left by Federals, but there is not a horse or ox in the country, hence the saving of corn will be a difficult matter. At Madison, they broke open Oglesby's office and carried off all his medicines. ...
On going to McCradle's place he [a Georgia legislator] found his fine house and ginhouse burned, every horse and mule gone, and in his lot 100 dead horses, that looked like good stock, that were evidently killed to deprive the planters of them.
...No farm on the road to the place, and as far as we hear from toward Atlanta, escaped their brutal ravages. They ravaged the country below there to the Oconee River. The roads were strewn with the debris of their progress. Dead horses, cows, sheep, hogs, chicken, corn, wheat, cotton, books, paper, broken vessels, coffee mills, and fragments of nearly every species of property strewed the wayside.
...They gutted every store, and plundered more or less of everything. ... Many families have not a pound of meat or peck of meal or flour.
Surely you have something better than that? Based on that it appears that Sherman's army foraged liberally, something that has never been denied, and either took livestock with them or disposed of them to keep them from aiding the confederate war effort. All armies of the time lived off the land, Lee did it in Pennsylvania and Sherman did it in Georgia.