Based on transformation optics and complementary media (folded geometry), levitative carpet cloak and overlapping effects (anti-mirror effects) can be realized. In common case, the levitative carpet cloak is limited by the shape of the hidden object, and the early folded geometry method can just make two objects with different shapes appear as only one. Here, based on transformation optics and finite element simulations, we propose an anisotropic but homogeneous shifting media that can shift an arbitrary-shaped object from original place to another place in terahertz (THz) region. As a result, an arbitrary shaped object levitated on a flat perfect electric conductor ground and covered with the shifting media cannot be detected, leading to the levitative and shape-independent carpet cloak. Furthermore, optical overlapping effects such as making two separated objects with the same shape appear as only one, can be also realized by using this kind of shifting media.