Abstract: The possibility of detracting decoherence due to the acceleration Process of the two-qutrit system was investigated, where we examined the behavior of relative entropy and non-local information. For this purpose, accelerated subsystems are allowed to pass through local or global noisy channels. It is shown that the detraction potential depends on the type of used noisy channel, local or global, and the initial settings of the accelerated qutrit systems, whether prepared in free or bound entangled intervals. The improvement rate depicted for systems prepared in free entangled intervals is much better than those prepared in bound entangled intervals. The maximum bounds of non-local information in the presence of amplitude damping channels are larger than those passed in the dephasing channel.