NOMA is an acronym coined by evolutionary theorist Stephen Jay Gould, who claimed that science and faith were “non-overlapping magisteria”—two different authorities with different jurisdictions or domains. Science, for Gould, dealt with facts; while religion dealt with values. As long as we kept that straight, then the two would never conflict because there would be no “overlapping” jurisdiction.
Unfortunately, the Christian faith makes all kinds of factual and historical claims, confounding those who want to view it as a collection of moral teachings. And science cannot help herself from making all sorts of value claims, so NOMA hasn't worked out terribly well for either.