Anisotropic material topology optimization already exist in literature. However, most optimization approaches for three-dimensional applications allow for the material direction to be freely orientated in three-dimensional space. This is contradictory to most additive manufactured structures: the anisotropy is parallel to a global print plane, prescribed by the part orientation relative to the printer. Thus, the possible material orientation for an optimization should be constrained accordingly. To this end, a method for simultaneous optimization of the topology and the material orientation is presented. To model layered anisotropic materials, the material orientation is defined by a global layer plane normal and a local orientation within this layer plane, which represent local orientation of the fibers or toolpath within (parallel to) the global plane. The local in-plane orientation is subject to optimization and global layer plane normal can be optimized as well or can be prescribed by the user. A filtering technique is presented to constrain the (two-dimensional) maximum fiber curvature within the layers. The parametrization of the material orientation is based on a set of Euler angles and in addition, the topology is optimized simultaneously by means of a density based approach (SIMP). The presented approach is based on a thermodynamic optimization approach. Herein, the stationary condition of a variational principle known in thermodynamic consistent material modelling is applied to derive (partial) differential equations for the design variables, i.e. the solution of those differential equations serve as update scheme for the optimization. After introducing the theory of the model, numerical examples are presented.