The fact that you use the term "flesh of murdered babies" to refer to embryonic stem cells, which even the Catholic Church simply refers to as "aborted fetal cell lines", indicates that you've bought way too heavily into the right-wing American culture war.

But anyhow, to answer your question despite the terrible way it was asked, no, the Moderna vaccine did not use embryonic stem cells in its development or production. Some partners, such as NIAID, did use embryonic stem cells for in-vitro testing of the vaccine: http://phillycatholiclife.org/life-affirming-choices-3/covid..., but the Catholic church does not consider that to make the Moderna vaccine unethical, as it's its direct development and production have never involved the use of embryonic stem cells.