彼は自分の責任を認めないばかりか他人に転嫁する　って英語でなんて言うの？

"He not only does not accept his own responsibility, but blames others for his faults.": "He not only does not accept his responsibility"=「彼は自分の責任を認めないだけではなく」 "but blames others for his faults"=「自分の欠陥を他人に転嫁する」 「〜しないどころか、それより悪いことに〜する　」でしたら、 "He not only does not accept his own responsibility, but does something even worse than that, which is to blame others for his faults." 「それより悪いことにする」＝"but does something even worse than that" ご参考になると良いです！