What is the relationship between the sprinkling and atonement given by sacrifice and the Law of Moses and the sprinkling mentioned in Isaiah?

For when Moses had spoken every precept to all the people according to the law, he took the blood of calves and of goats, with water, and scarlet wool, and hyssop, and sprinkled both the book, and all the people, Saying, This is the blood of the testament which God hath enjoined unto you. Moreover he sprinkled with blood both the tabernacle, and all the vessels of the ministry. And almost all things are by the law purged with blood; and without shedding of blood is no remission. It was therefore necessary that the patterns of things in the heavens should be purified with these; but the heavenly things themselves with better sacrifices than these. And as it is appointed unto men once to die, but after this the judgment: So Christ was once offered to bear the sins of many; and unto them that look for him shall he appear the second time without sin unto salvation.

Hebrews 9:19-23, 27-28 (KJV)

• Clearly just as Moses had to sprinkle the blood for atonement and for the covenant to be made, so too Isaiah here foretells of the Mashiach doing the same thing.