There are significant differences of the performances of the cold-atom absolute gravimeter and gradiometer between in-lab and outdoors experiment. The vibration noise which plays a major role in the noisy environment can be suppressdramaticallybythesensitivityfunction. However, theremainingrotationnoisehas notyetbeenstudied. Here, we derivethephasechangerespondrelated totherotationfluctuationviathephysicalmechanismoftheinertialsensing. High order sensitivity function compensation algorithm is provided by calculating the two-photon Raman transition evolution, which significantly increases the sensitivity and environmental suitability of both the cold-atom absolute gravimeter and gradiometer.