Production of open charm and beauty states in p-Pb collisions with LHCb

A rich set of open heavy flavour states is observed by LHCb in p-Pb and Pb-p collisions data collected at $\sqrt{s_{NN}}$ = 5.02 and 8.16 TeV. In these proceedings, latest results obtained by the LHCb collaboration are reported, with a special focus on the data recorded in 2013 at $\sqrt{s_{NN}}$ = 5.02 TeV ($L_{int}$= 1.6 $nb^{-1}$). Results include the new measurements of production of beauty hadrons through cleanly reconstructed exclusive decays, as well as the $\Lambda_c^+$ baryon on the open charm states sector, observed in p-Pb collisions for the first time by LHCb.