In Part 12 of the Ninety sermon series, Andy Stanley explained how Jesus' new covenant was initiated when political maneuvering between the Jewish religious council called the Sanhedrin and the Roman prefect Pontius Pilate led to false accusations and the wrongful crucifixion of Jesus.
God used our penchant for injustice to save us. We did the darkest thing imaginable—railroaded the innocent Son of God—yet our Heavenly Father redeemed that darkness. He transformed it into the turning point of all human history.
For a deeper perspective on justice and redemption in the Bible, check out this short video by the Bible Project. It's good stuff.