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We present the results of a study of the stellar and accretion properties ofthe (almost) complete sample of class II and transitional YSOs in the Lupus I,II, III and IV clouds, based on spectroscopic data acquired with theVLT/X-Shooter spectrograph. Our study combines the dataset from our previouswork with new observations of 55 additional objects. We have investigated 92YSO candidates in total, 11 of which have been definitely identified with giantstars unrelated to Lupus. The stellar and accretion properties of the 81 bonafide YSOs, which represent more than 90% of the whole class~II and transitiondisc YSO population in the aforementioned Lupus clouds, have been homogeneouslyand self-consistently derived, allowing for an unbiased study of accretion andits relationship with stellar parameters. The accretion luminosity, Lacc,increases with the stellar luminosity, Lstar, with an overall slope of ~1.6,similar but with a smaller scatter than in previous studies. There is asignificant lack of strong accretors below Lstar~0.1Lsun, where Lacc is alwayslower than 0.01Lstar. We argue that the Lacc-Lstar slope is not due toobservational biases, but is a true property of the Lupus YSOs. ThelogMacc-logMstar correlation shows a statistically significant evidence of abreak, with a steeper relation for Mstar<0.2Msun and a flatter slope for highermasses. The bimodality of the Macc-Mstar relation is confirmed with fourdifferent evolutionary models used to derive the stellar mass. The bimodalbehaviour of the observed relationship supports the importance of modellingself-gravity in the early evolution of the more massive discs, but otherprocesses, such as photo evaporation and planet formation during the YSO'slifetime, may also lead to disc dispersal on different timescales depending onthe stellar mass. We also refined the empirical Lacc vs. Lline relationships.

X-Shooter spectroscopy of young stellar objects in Lupus: Accretion properties of class II and transitional objects