Previously we developed optical method enabling measurements of the liquid crystal twist angle in the cells with grooved surfaces. In this work azimuthal anchoring energy of a liquid crystal to a surface is estimated by measuring the deviation of the twist angle of the liquid crystal from the angle defined by direction of liquid crystal alignment on one rubbed and one grooved surfaces substrates. It was found that the twist angle it the cells depends not only on the parameters of the grooves, but also strongly depends on the material covering the grooves.