The ALICE Collaboration has studied the inclusive production in p-Pb collisions at TeV at the CERN LHC. Measurements are performed, in the decay channel, in a forward (2.033.53) and in a backward (-4.46-2.96) centre of mass rapidity ranges, as a function of transverse momentum or event activity. The production is compared to the one through the double ratio $[\sigma_{\psi(\rm 2S)}/\sigma_{\rm J/\psi}]{\rm pPb}/[\sigma{\psi(\rm 2S)}/\sigma_{\rm J/\psi}]_{\rm pp}$ between the cross sections evaluated in p-Pb and pp collisions and by calculating the $\rm J/\psi\psi(\rm 2S)$ nuclear modification factors. Results indicate that the production is suppressed with respect to pp and, in particular in the backward rapidity region, the suppression is stronger than the one. This unexpected difference between the and behaviour, not accounted for by theoretical models based on nuclear parton shadowing and coherent energy loss mechanisms, indicates the presence of sizeable final state effects on the production.

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