We investigate localization in a one-dimensional non-Hermitian Aubry-André model in which both the nearest-neighbor and the next-nearest-neighbor hoppings are nonreciprocal. Combining the Fermi-surface point-matching approximation with an effective-hopping ansatz that is exact in the two solvable limits of the model, we obtain an approximate closed-form mobility edge in which the two nonreciprocity parameters enter through exponentially renormalized hopping amplitudes. In the Hermitian limit, the real-to-complex transition of the eigenvalues under a weak imaginary vector potential locates the mobility edge sharply and shows that the point-matching expression is more accurate than an earlier approximate expression obtained by mapping to a model with exponentially decaying hopping. For nonreciprocities of equal sign, the mobility edge is a parabola in the energy-potential plane: nearest-neighbor nonreciprocity shifts it toward stronger potentials, whereas next-nearest-neighbor nonreciprocity reduces its curvature and widens the window in which extended and localized states coexist. Exact diagonalization and global phase diagrams confirm this picture and delimit the range of validity of the approximation. Spectral winding numbers evaluated near the two band edges bracket the mixed phase.

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• 1-dimensional systems
• Disordered systems
• Non-Hermitian systems
• Exact diagonalization