Lusztig (1994) studied sheaves on the enhanced affine flag variety with fixed monodromy along Kac-Moody torus orbits, developing a framework that later became central to the metaplectic and quantum geometric Langlands program. In joint work with Gurbir Dhillon, Zhiwei Yun, and Xinwen Zhu, we show that these monodromic affine Hecke categories are equivalent to non-monodromic affine Hecke categories of smaller groups, constructed via an affine analogue of Langlands’ endoscopy, extending results of Lusztig and Yun for finite Hecke categories. Applications include endoscopic equivalences, confirming a series conjectured by Gaitsgory in quantum geometric Langlands.