ABSTRACT: In this paper, an evolutionary multiverse argument against naturalism (EMAAN) is presented: E1. In an evolutionary multiverse, phenomena have variable evolutionary ages. E2. After some time T, the development of the empirical sciences will be evolutionarily conserved. E3. The phenomena with an evolutionary age above T are methodologically supernatural. Entities are classified according to whether they are (1) physical and spatiotemporal, (2) causally efficacious, and (3) either observed by or explanatorily necessary for the empirical sciences. While the conjunction of (1) and (2) is taken to be sufficient for existence in reality, the negation of (3) defines methodological supernaturalness. EMAAN uses a generalization of evolutionary theory, namely cosmological natural selection, to argue that phenomena evolve that fulfill conditions (1) and (2), but not (3). This shows that methodologically supernatural phenomena have a clear epistemology according to a theory that is grounded in the commitments of naturalism. Supernatural phenomena are not observed by the empirical sciences because the empirical sciences themselves are supernaturally guided and predestined to develop according to an evolutionarily conserved plan. In spite of this scientific plan, there is room for afterlives and supernaturality in the everyday experience.