"To produce an embryo" means to create or form the early stage of a living organism, typically referring to the earliest stage of a human or animal before it develops into a fetus. Full definition
The goal of the procedure isn't to produce embryos for research parts but to provide parents with a healthy child. (firstthings.com)
Such a union produces no embryo but a placenta. (newscientist.com)
For instance, a couple who each suffers from beta thalassemia might only have healthy children free from the inherited blood disorder if they were able to produce embryos in which the genetic defect was corrected using gene editing. (relevantmagazine.com)