2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/155289We extend the Yang-Baxter cocycle invariants for virtual knots by augmenting Yang-Baxter 2-cocycles with cocycles from a cohomology theory associated to a virtual biquandle structure. These invariants coincide with the classical Yang-Baxter cocycle invariants for classical knots but provide extra information about virtual knots and links. In particular, they provide a method for detecting non-classicality of virtual knots and links.17 pages, many pictures. To appear in Trans. Amer. Math. Soc. Version 2 includes minor typo correctionsGeometric TopologyQuantum Algebra57M27, 18G60text