I think you mean "forgiveness of sin," but I get what you meant.
The Hebrew Bible does not say that without the shedding of blood there is no forgiveness of sin. That is from the "new testament" book of "Hebrews," which chrstians then retroject into the Torah.
What do the Jews of today do with that?
They can’t sacrifice anything.
What did they do during the 70 years of the Babylonian exile? What did they do in the Wilderness with Moses when the Tabernacle was disassembled so the Jews could move to a new location? The Tabernacle was reassembled and the offerings brought again only when the clouds that accompanied them stopped at a certain spot.
And what about the dire warnings of Deuteronomy of the eventual exile when the Jews would be exiled to a foreign land? This was already in the Torah from the time of Moses, and studied and known by all the people. The lack of offerings, like the exile, is a punishment for abandoning the Torah . . . and not for "rejecting the 'messiah'" (no such sin is listed).
Chrstians don't like it when moslems or mormons add new books to supplement the NT. Can't you understand that in Judaism the Torah is eternal and not to be superseded by anything???
PS: What do you do with the fact that non-Jews have never been required to bring sacrifices at any time, though they are permitted to do so?
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Yes, Orthodox Jews consider the Torah as eternal. One line of thought is that the Torah preceded G-d, and that He scrutinized the Torah to obtain the precise 44 syllables required to utter the Universe into existence!
Redemption is correct
Jesus redeemed us
How are sins forgiven in the Torah?
How wrong can you be?
Listen to Jews who know the truth in the Torah:
My own family, half of which are Jewish, the other half Christian, have respect for each other. They do not debate the Torah, they accept its clear meaning.
In the link above you will hear and see highly educated Messianic Jews discuss the clear meaning of the Torah in regards to many insecure projections of non-pious Jews who cannot defend their rejection of the Messiah except to claim that Christians are untrustworthy and are not understanding the Torah as it should be understood. The response of non-pious Jews is always the same, to deny, to make excuses, to twist the meanings.
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My Jewish great-grandfather was a pious Jew. When I visited him as a young man, he told me that he loved me, that he was disappointed that I had chosen my Mother’s faith, but that it was my choice and it was to be respected. Then he asked me to promise him that I would always love my Jewish family, that I would always act to try my best to help them, to never forget that they are family first. I promised him all those things and I have never broken those promises.
So here is what I tell my Jewish family, I say that St. Paul, a Roman Jew wrote that Jews would one day wake up to Jesus as Messiah. I tell them until then, we are to respect each other, to help each other and let God be the one to act His will. That works for us.
I will ask you to always extend your hand in friendship to a truly enlightened and righteous Christian. Not all Christians are true Christians. They go through the motions in the same ways that some Jews go through the motions. Do not judge Christianity by the clear faults of some lesser Christians. There are righteous highly educated, highly spiritual Christians that you should greet in friendship. And finally, when you see a Christian who is influential and seems to harbor an animus towards Jews, do not inflame the tension. Rather, ask your Rabbi to meet with the aberrant Christian and to offer to break bread, to talk peace and goodwill. Such acts bring people together and go a long way to removing suspicions and festering hostilities.
In the interim, you are to be respected for your beliefs and all are to protect your right to your beliefs as established under our Constitution. I always tell Christians to honor Jews because they have the seed of Abraham in them, the seed of the Patriarch whose lineage was to bring forth the Messiah because he was obedient to God. And I tell Jews that Christians are to show deference and respect to Jews and therefore please act accordingly as honorable Jews setting good examples for all.