Way I always took it was by specifically abolishing original sin, Jesus abolished being judged for your associations and family, and instead being judged for your own choices in life.

Basically Christianity tells a narrative of divine salvation going from being a gift for a chosen people provided their maintaining their covenant with their God, to said covenant being abolished, and said salvation now being what people experience from the act of choosing to do good things for yourself and for the folks around you.

From justice being tied to a code of blood feuding to a code of retaliatory law, to a choice you make every day to spread good through your actions.