Tash's Country is the place where all species are sent to if they reject Aslan by committing evil acts in life. It is presumably a place of unimaginable torment and suffering, ruled by Tash. It is plausible that evil characters such as Shift, Ginger, Miraz, Lady of the Green Kirtle, Jadis etc. are sent here for eternal torment.
Note
It should be noted that C.S. Lewis clearly depicted Tash's Country to be the Narnian version of Hell. The polar opposite of Heaven is Hell, and C.S. Lewis clearly states that the opposite of Aslan's Country is Tash's Country.