It accomplished remission of sins which is Justification !
Matt 26:28
28 For this is my blood of the new testament, which is shed for many for the remission of sins.
The word for eis is the prep meaning:
into, in, unto, to, upon, towards, for, among.
1519 eis (a preposition) – properly, into (unto) – literally, "motion into which" implying penetration ("unto," "union") to a particular purpose or result.
Christ's Blood shed resulted in remission of sin, not a offer of it, not that it made it available if you accept it, but it was for the purpose of and resulted in for the many it was shed remission of their sins.
That word remission aphesis:
a sending away, a letting go, a release, pardon, complete forgiveness.
859 áphesis (from 863 /aphíēmi, "send away, forgive" ) – properly, "something sent away"; i.e. remission ("forgiveness"), releasing someone from obligation or debt.
In other words, the debt of death they owed for the wages of sin Rom 6:23 they are no longer under that debt, their debt is completely forgiven by the blood of Christ, and that is their Justification before God,
Its the same as stated in Rom 3:24
24 Being justified freely by his grace through the redemption that is in Christ Jesus:
Eph 1:7
In whom we have redemption through his blood, the forgiveness of sins, according to the riches of his grace;
That word redemption also equates to remission or forgiveness of sins, its the word apolutrósis:
release effected by payment of ransom; redemption, deliverance.
/apolýtrōsis ("redemption, re-purchase") emphasizes the distance ("safety-margin") that results between the rescued person, and what previously enslaved them. For the believer, the prefix (575 /apó) looks back to God's effective work of grace, purchasing them from the debt of sin and bringing them to their new status (being in Christ).
You see that aspect of redemption that has to do with "purchasing them from the debt of sin " ? Thats exactly the same truth of remission or forgiveness which states:
"releasing someone from obligation or debt: And so Rom 3:24 says that those Christ shed His Blood for Matt 26:28 were by that Justified freely, by His Grace, through the Redemption that is in Christ Jesus or as Eph 1:7 in His Blood !
This proves, whether its believed or not, but it proves that those whom Christ died for are by His Blood alone, they are Justified from all sin and due punishment for the same, for unto them, death as the wages of sin Per Rom 6:23 no longer exists, they have been released from that debt forever !
That word Justified in Rom 3:24 means:
I make righteous, defend the cause of, plead for the righteousness (innocence) of, acquit, justify; hence: I regard as righteous.
to clear (someone) of a charge or accusation, as in a court of law.
All this is accomplished for the Many He shed His Blood for, the Blood of the New Covenant Matt 26:28 ! Its a done deal yall !