Progenerate means to reproduce or generate offspring. Its antonyms would be words that convey the opposite meaning, such as eliminate, eradicate, discontinue, or halt. Another potential antonym could be extinguish, implying a complete cessation of the ability to create new life. In contrast to progenerate, these terms suggest an end to the continuation of a species or group, rather than continuing or beginning it. However, it is important to note that progenerate is not necessarily a positive concept; it simply refers to the act of generating offspring, which can be neutral or negative depending on the circumstances.