In what manner does Jesus, the Anointed, take away sin through His sacrifice? Does He just forgive it (whether we continue in sin or not)? Does He magically take it away or cover it up with a cloak of righteousness so that God can no longer see it, but when God looks at us, He is blind to our sin and sees only Jesus’ righteousness?
The angel announced to Joseph that he should call the name of Mary’s son “Jesus” (saviour) because He would save His people from their SINS. He didn’t say "save His people from the punishment of their sins, or from the necessity of being corrected concerning their sins. To do that would be a great disservice. To do that would be to solidify them in their sinful ways, and would be no deliverance at all!
The whole teaching of Paul and the apostles is that Jesus died to deliver people from their sins.
I quote yet again the reasons Paul, Peter, and the writer to the Hebrews gave for the purpose of Jesus’ death on our behalf:
Our salvation is a life-long process. We cannot do it alone. God won’t do it alone. But we, together with God, coöperating with His enabling grace CAN ACCOMPLISH IT! The process will some day be completed!
Paul wrote to Titus about the enabling grace provided through Jesus’s sacrificial death, and how it benefits people by enabling them to overcome wrongdoing: