When two graphene layers are placed on top of each other, they can form a moire pattern – twisted graphene. In this case, one layer of carbon atoms is rotated relative to another layer by an arbitrary angle. In the talk, a brief review of recent theoretical and experimental results [1-3] on the engineering of phonon properties of twisted graphene by atomic plane rotations are provided. Angle-dependent specific heat and thermal conductivity of twisted graphene are discussed.