We present, for the first time to the best of our knowledge, a multichannel add-drop operation with a phase-modulated shifted Bragg grating based filter. The device is realized in a silicon-on-insulator waveguide platform with TiO2 as a coating material to reduce the refractive index contrast. The operation is shown for three and five wavelength channels within the telecom C-band. A line width of 0.6 nm with an extinction ratio of 20 dB is achieved. The shifted Bragg grating is modulated maintaining a modal phase-matching condition for multiple wavelengths. The phase function is calculated with an iterative Fourier transform algorithm. The experimental results are in very good agreement with the design.