But ye are come unto mount Sion…and to Jesus the mediator of the new covenant, and to the blood of sprinkling… – Hebrews 12:22,24

What is this “blood of sprinkling?” In a few words, “the blood of sprinkling” represents the pains, the sufferings, the humiliation, and the death of the Lord Jesus Christ, which He endured on the behalf of guilty man. When we speak of the blood, we wish not to be understood as referring solely or mainly to the literal material blood which flowed from the wounds of Jesus. We believe in the literal fact of His shedding His blood, but when we speak of His cross and blood we mean those sufferings and that death of our Lord Jesus Christ by which He magnified the law of God; we mean what Isaiah intended when he said, “He shall make His soul an offering for sin;” we mean all the griefs which Jesus vicariously endured on our behalf at Gethsemane, and Gabbatha, and Golgotha, and especially His yielding up His life upon the tree of scorn and doom. “The chastisement of our peace was upon Him, and with His stripes we are healed.” “Without shedding of blood there is no remission;” and the shedding of blood intended is the death of Jesus, the Son of God.

Remember that His sufferings and death were not apparent only, but true and real, and that they involved an incalculable degree of pain and anguish. To redeem our souls cost our Lord an exceedingly sorrowfulness “even unto death;” it cost Him the bloody sweat, the heart broken with reproach, and especially the agony of being forsaken of His Father till He cried, “My God, My God, why have You forsaken Me?” Our Mediator endured death under the worst possible aspects, bereft of those supports which are in all other cases of godly men afforded by the goodness and faithfulness of God. His was not merely a natural death, but a death aggravated by supernatural circumstance, which infinitely intensified its woe. This is what we mean by the blood of Christ, His sufferings, and His death. ~ C.H. Spurgeon

https://www.blueletterbible.org/comm/spurgeon_charles/sermons/1888.cfm