Baues, Minian, Richter: Crossed modules over operads and operadic cohomology (2004)
arXiv:1101.1896 Gerstenhaber-Schack diagram cohomology from operadic point of view from arXiv Front: math.KT by Martin Doubek We show that the operadic cohomology for any type of algebras over a non-symmetric operad A can be computed as Ext in the category of operadic A-modules. We use this principle to prove that the Gerstenhaber-Schack diagram cohomology is operadic cohomology.
nLab page on Operadic cohomology