For the Christian the prophetic fulfillment of the Passover occurs when Jesus died on the cross for our sins:
Surely he took up our pain
and bore our suffering,
yet we considered him punished by God,
stricken by him, and afflicted.
But he was pierced for our transgressions,
he was crushed for our iniquities;
the punishment that brought us peace was on him,
and by his wounds we are healed.
We all, like sheep, have gone astray,
each of us has turned to our own way;
and the Lord has laid on him
the iniquity of us all. (Isaiah 53:4-6)
The judgment of God the Father has passed over us and had been placed on God the Son. The resurrection of Jesus is proof that, by His sacrifice, He has defeated sin, Hell and the grave:
O death, where is thy sting? O grave, where is thy victory? (1 Corinthians 15:55)
How do we participate in the resurrection of our Lord? We participate by His resurrection by first participating in His death:
Or don’t you know that all of us who were baptized into Christ Jesus were baptized into his death? We were therefore buried with him through baptism into death in order that, just as Christ was raised from the dead through the glory of the Father, we too may live a new life.For if we have been united with him in a death like his, we will certainly also be united with him in a resurrection like his. For we know that our old self was crucified with him so that the body ruled by sin might be done away with,[a] that we should no longer be slaves to sin— because anyone who has died has been set free from sin.Now if we died with Christ, we believe that we will also live with him. For we know that since Christ was raised from the dead, he cannot die again; death no longer has mastery over him. The death he died, he died to sin once for all; but the life he lives, he lives to God.In the same way, count yourselves dead to sin but alive to God in Christ Jesus. (Romans 6:3-11)
We participate in the resurrection by faith in the completed work of our Lord who atoned for all our sins:
Moses writes about the righteousness which is of the law, “The man who does those things shall live by them.” But the righteousness of faith speaks in this way, “Do not say in your heart, ‘Who will ascend into heaven?’” (that is, to bring Christ down from above) or, “‘Who will descend into the abyss?’” (that is, to bring Christ up from the dead). But what does it say? “The word is near you, in your mouth and in your heart” (that is, the word of faith which we preach): that if you confess with your mouth the Lord Jesus and believe in your heart that God has raised Him from the dead, you will be saved. For with the heart one believes unto righteousness, and with the mouth confession is made unto salvation. For the Scripture says, “Whoever believes on Him will not be put to shame.” For there is no distinction between Jew and Greek, for the same Lord over all is rich to all who call upon Him. For “whoever calls on the name of the Lord shall be saved.” (Romans 10:5-13)
While it is true that Jesus died for all the sins of the world, we must chose to participate in His sacrifice and resurrection. This is the essence of the Christian Faith.