Marl-limestone alternations are rhythmical inter-bedded deposits that commonly occur in many sedimentological environments. It is quite well established that these lithological variations originate from astronomically-driven climatic variations paced by the Milankovitch cycles of main periods 19, 23, 41, 100 and 405 ka. However, the sedimentological mechanisms involved are not clear: some models attribute these alternations to cyclic changes in the carbonate flux, while terrigenous siliciclastic input remained relatively constant. On the opposite, other models suggest that the carbonate flux was constant while the siliciclastic flux changed cyclically, or that both fluxes varied in antiphase. To test these different scenarios, we collected marlstone and limestone samples from two sedimentary marl-limestone successions from the Middle Jurassic (Bajocian, 3 marl-limestone couplets over 3.4 m) and the Lower Cretaceous (Valanginian, 1 marl-limestone couplet over 0.9 m) of the Southern French Alps (Barles). We measured their concentrations in calcium carbonate, organic carbon, nannofossil, as well as in extraterrestrial ³He (³He_ET). Carbonate contents range from 45% in marls to 86% in limestones. Importantly, the measured ³He_ET concentrations of all samples remained nearly constant in the siliciclastic fractions, within uncertainties (< 20%). Our results indicate that, at the astronomical timescale, sedimentation rates were mainly controlled by large changes in the CaCO₃ net fluxes, leading to variable dilution of the terrigenous input. Nannofossil counting shows that pelagic CaCO₃ fluxes of coccolithophores are inversely correlated to the total carbonate content along the marl-limestone alternations and represent less than 7% of the total carbonate content. Hence, in this setting, these marl-limestone alternations were driven by fluctuations in micritic CaCO₃ supply and/or preservation from the nearby carbonate platform that variably diluted nannofossil and organic carbon particles. Finally, assuming a constant ³He_ET flux of 100 pcc.cm^-2.Ma^-1, total ³He_ET-derived sedimentation rates range from 20 to 30 m/Ma in the marl strata, while they reach up to 80 to 100 m/Ma in the limestone layers. These sedimentation rates are broadly compatible with local average rates estimated for the whole Bajocian and Valanginian stages by bio-cyclostratigraphy.