>Non-rechargeable batteries have no such luck. Once drained, their chemistry cannot be restored.
Rechargeable batteries have limited cycles due to problems, mainly solidification or breakdown of electrolytes that prevent restoration, but there are others like mechanical effects.
Most "Non-rechargeable batteries" can actually be restored as well in the same sense of those labeled as rechargeable ones, but usually have a much lower cycle count due to these effects. For example can usually get a few cycles from your alkaline batteries, as long as you are trickle charging them since they don't usually have good venting.