(CNN) A couple from New York is suing a fertility clinic after a woman gave birth to other couples' babies because of an IVF mixup, according to a federal lawsuit filed in US District Court.

The mother, who is Asian, gave birth to two non-Asian babies, and each child was a genetic match to a different couple that was also a client at the fertility clinic, the lawsuit states. The Asian couple was then forced to give up the babies to their true genetic parents.

The couple, identified only as A.P. and Y.Z., live in Flushing, New York, and were married in 2012. After having trouble conceiving a child, they decided to try to have a child through in vitro fertilization, or IVF, with a company called CHA Fertility based out of Los Angeles, the lawsuit states.

CHA Fertility did not respond to a request for comment.

In vitro fertilization is a series of procedures in which an egg is fertilized in a lab and then transferred to a uterus, according to the Mayo Clinic

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