Nijenhuis operator and Lie like bracket on generalised tangent bundle

The evolution of Nijenhuis operators has started during nineties. The Nijenhuis operator is formulated using the deformation on Poisson Nijenhuis manifolds and Lie algebras. In this paper, the Nijenhuis operator is suggested on the generalised tangent bundle TM + T*M followed by the deformation on Lie algebra. A new geometric structure is formulated in association with Nijenhuis relation. It is proved that if the Nijenhuis operator, N: G(TM+ T*M)->G(TM + T*M) is restricted to the Dirac structure of the generalised tangent bundle TM + T*M, then the deformation is a trivial. However, on the whole space G(TM + T*M), it is only a deformation weaker than the trivial deformation. A bracket like a Lie bracket is defined on G(TM + T*M)+G(T*M). The bracket is skew symmetric and does not satisfy Jacobi identity property. A structure like Dirac structure is also defined on that space.