Jesus goes beyond making a sacrifice on our behalf:
Those priests were many because they were prevented by death from remaining in office, but he, because he remains forever, has a priesthood that does not pass away. Therefore, he is always able to save those who approach God through him, since he lives forever to make intercession for them. -Hebrews 7:23-25, NAB
The Levitical priests of the Old Testament offered sacrifices on behalf of the people. Their intercession indirectly connected the people to God. Jesus’ direct intercession on our behalf is one more way that His sacrifice supersedes the priests that came before Him.
Christ’s direct intercession on our behalf offers us an eternal, straight path to God the Father. Christ offered the sacrifice, and Christ was the sacrifice. He was both High Priest and Lamb. It was perfect, and it will last forever.
Essentially, Christ took out the middle man. We no longer have to rely on a mortal man – a sinner himself – to make sacrifices for us. When we are in need of forgiveness, when we want to connect with our God, we simply need to approach Jesus.
Of course, some will ask how Confession fits into the mix. Venial sins (lesser sins) can often be forgiven directly through certain acts, such as participating in the Eucharist. At times, though, we separate ourselves from God through mortal sins, and priests step in to help us close the gap.
During the Sacrament of Confession, the priest works on behalf of Christ. The priest is not offering us absolution under his own power, but through Christ. So the forgiveness we obtain still comes directly from Christ Himself. The priest’s role is simply to help reconcile us to Christ.
Through Christ, we have a direct connection to God that will last forever. His priesthood endures, and His sacrifice is eternal. To connect with God, we simply need to approach Jesus Christ, our Lord.