The study described in this paper focuses on a model featuring two nonlinear oscillators, which are stimulated by two external coherent fields, and are referred to as a nonlinear quantum scissors (NQS). To analyze the system's evolution, the NQS method for quantum state engineering was applied, leading to the discovery of a wave function that comprises a composite of n-photon states. Through the implementation of NQS, the system's optical states undergo a truncation process, resulting in the production of two-qubit states that can be achieved due to the oscillators' nonlinear characteristics and their interaction. As the system evolves, maximally entangled states referred to as Bell-like states are created.