Scripture provides the answer. I will try to keep them in a logical order and then explain what I believe.
John 3:6–21“That which is born of the flesh is flesh, and that which is born of the Spirit is spirit. Do not be amazed that I said to you, ‘You must be born again.’... “He who believes in Him is not judged; he who does not believe has been judged already, because he has not believed in the name of the only begotten Son of God. “This is the judgment, that the Light has come into the world, and men loved the darkness rather than the Light, for their deeds were evil.
John 5:22–24 “For not even the Father judges anyone, but He has given all judgment to the Son, so that all will honor the Son even as they honor the Father. He who does not honor the Son does not honor the Father who sent Him. Truly, truly, I say to you, he who hears My word, and believes Him who sent Me, has eternal life, and does not come into judgment, but has passed out of death into life."
2 Corinthians 5:14–21 For the love of Christ controls us, having concluded this, that one died for all, therefore all died; and He died for all, so that they who live might no longer live for themselves, but for Him who died and rose again on their behalf. Therefore from now on we recognize no one according to the flesh; even though we have known Christ according to the flesh, yet now we know Him in this way no longer. Therefore if anyone is in Christ, he is a new creature; the old things passed away; behold, new things have come. Now all these things are from God, who reconciled us to Himself through Christ and gave us the ministry of reconciliation, namely, that God was in Christ reconciling the world to Himself, not counting their trespasses against them, and He has committed to us the word of reconciliation. Therefore, we are ambassadors for Christ, as though God were making an appeal through us; we beg you on behalf of Christ, be reconciled to God. He made Him who knew no sin to be sin on our behalf, so that we might become the righteousness of God in Him.
Scripture does not say that wrath is propitiated, but rather that Christ is the Propitiation for the sins of the world. As discussed, in Him we escape the wrath to come.
Your question is "how?".
Man bust be "born again" (or "born from above"), be born "of the Spirit", "die to the flesh", "be made alive in Christ", and be made "a new creation" in Christ where there is no condemnation.
What charge is against a new creation? What charge is against the Spirit? None.