In this paper, a quantum hybrid interferometer consisting of a nonlinear beam splitter and a linear beam splitter is proposed in theory. The nonlinear beam splitter is composed of a nonlinear parametric process combined with linear coherent feedback of a quantum squeezed source to improve the phase sensitivity of the quantum hybrid interferometer. Specifically, the optical parametric amplifier (OPA) output beam and the quantum squeezed source are linearly fed back to the input end to obtain a pair of dual-mode squeezed beams with controllable entanglement. Combined with the linear beam combination, the feedback quantum hybrid interferometer is constructed. The results show that compared with the non-feedback quantum hybrid interferometer, the scheme can increase the number of phase-sensitive photons by adjusting the feedback intensity to an appropriate range to improve the interference signal intensity and enhance the degree of entanglement between the two interference arms to reduce the interference noise. In addition, the squeezed vacuum state as the input state of the feedback loop structure can further reduce the noise of the detection signal. Therefore, this scheme can effectively improve the measurement sensitivity of the hybrid interferometer from the above three aspects. Even in the case of lossy, the feedback quantum hybrid interferometer compared with without feedback still has better phase sensitivity and anti-damage ability, which is expected to be applied in the field of quantum metrology.