He sees me in his mother, so he takes out his resentment towards her on me.
この場合、次のように言うと自然な感じで良いでしょう。
ーHe sees me in his mother, so he takes out his resentment towards her on me.
「彼は私と彼の母親を重ねて見るので、母親に対する恨みを私にぶつけてくる」
to see me in his mother「私を彼の母の中に見る」=「私と彼の母を重ねて見る」
to take out .. on ~ で「〜に…をぶつける」
resentment で「恨み・憤り」
ご参考まで!