Decent question.
Jews had a complete Canon of Hebrew Scriptures before the time of Christ. It did not contain the Apocrypha.
Why is it important that Jews did not recognize the Apocrypha? Paul writes this in Romans 3:1,2...
"Then what advantage has the Jew? Or what is the benefit of circumcision? Great in every respect. First of all, that they were entrusted with the oracles of God (Greek: logia)."
In addition to God entrusting the chosen people with His very Words, there was more:
“Theirs is the adoption as sons; theirs the divine glory, the covenants, the receiving of the law, the temple worship and the promises. Theirs are the patriarchs, and from them is traced the human ancestry of Christ, who is God over all, forever praised! Amen” (Romans 9:4,5)
If God trusted the Jews with His Word, with the covenants, with His divine physical glory in the Temple Worship, with the promises, with the Patriarchs who resulted in the Gift of the Savior to all mankind, how can I do less?
*That* is why I believe their exclusion of the Apocrypha (and so much more not included in the Apocrypha) is so very significant.
As to their rejection of Messiah... that will be fixed. Zechariah says they will see Him in the sky and look upon Him who they pierced and mourn.
They will turn to Him.
LXX