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As fingerprint verification depends strongly on the quality of fingerprint ridge orientation estimation, so the more accurate fingerprint ridge orientations estimate, the better verification will result in. In this paper, we have proposed a new technique for improving the coarse fingerprint orientation estimation smoothing using fingerprint orientation model based on 2D Fourier expansion with a special Modification on it (M-FOMFE). The modification we have used in this paper is taking into account the information of Coherence Matrix for fingerprint ridge orientation estimation. This matrix is used to retrieve the uncertainty of each ridge orientation block and improves the accuracy of old FOMFE coarse ridge orientation smoothing method. For evaluating the proposed method we use a fingerprint continuous classification system and also an exclusive one based on Poincare-Index algorithm for singular point detection. Compared to competing method, the experimental results show that the proposed method has better orientation estimation and classification results.