  We determine the phase diagram of a bilayer, Yao-Lee spin-orbital model with
inter-layer interactions (J), for several stackings and moir\'e superlattices.
For AA stacking, a gapped Z2 quantum spin liquid phase emerges at a finite Jc.
We show that this phase survives in the well-controlled large-J limit, where an
isotropic honeycomb toric code emerges. For moir\'e superlattices, a finite-q
inter-layer hybridization is stabilized. This connects inequivalent Dirac
points, effectively `untwisting' the system. Our study thus provides insight
into the spin-liquid phases of bilayer spin-orbital Kitaev materials.
