A vectorial coupled mode theory is used to analyze sol-gel ridge waveguides with UV- light imprinted Bragg grating. The effect of device parameters on grating reflectivity is investigated. It is shown that 100 % reflectivity for both TE and TM modes can be achieved using short (1 - 2 mm) gratings. The measured reflectivity in a ridge waveguide with grating agrees with the theoretical predictions for TE and TM modes.