That my daughter likes mayonnaise, she gets that from me.
「○○の譲りである」に近い表現は"she/he gets that from (someone)"です。
「ママ譲りの鼻」でしたら、"She gets her nose from her mother." または、"She has her mother's nose"
「パパ譲りの目」でしたら、"She get her eyes from her father." または、"She has her father's eyes"
ご参考になると良いです!