The reshuffle also saw Dawn Butler appointed to the position of Shadow Minister for Black and Minority Ethnic Communities. Labour confirmed to the JC the role would include relations with the Jewish community.
Mr Corbyn had last year considered appointing a “Minister for Jews” to work with the community and improve Jewish relations with Labour.
Marie van der Zyl, Board of Deputies vice-president, said: "We are disappointed, but sadly unsurprised, that once again Shami Chakrabarti and Jeremy Corbyn have spectacularly undermined her so-called 'independent' report.
"We hoped her report would be a potent weapon in the fight against antisemitism. It now looks increasingly like the whitewash was a job application. She has sold out the Jewish community."