They shouldn't have to. Once found guilty, there should be automatic mechanisms for restitution in sentencing.
I don't think the damaged party should have to refight the battle.
The concept of a criminal having a "debt to society" is one of the most egregious wrongs in the "justice system". The criminal has a debt to the people that were wronged, not society. Society should make him pay that debt.
What if they don't have much worth taking? Then what?