2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/215713A brief review of cosmology in some generalized modified gravity theories with vacuum polarization is presented. Stability question of de Sitter solution is investigated.5 pages, 2 figures, in press, contribution to the anniversary volume "The Problems of Modern Cosmology", on the occasion of the 50th birthday of Prof. S. D. Odintsov. Editor: Prof. P. M. Lavrov, Tomsk State Pedagogical UniversityGeneral Relativity and Quantum Cosmologytext