The proton and deuteron pickup reactions and were studied with the radioactive beam produced by the new fragment separator ACCULINNA-2 at FLNR, JINR. These measurements were initially motivated as the test reactions intended for the elucidation of results obtained in the study of the extremely neutron-rich H and H systems created in the and reactions with the use of the same setup. In the reaction the Li ground-state ( ) and its first excited state (2.69 MeV, ) were identified in the low-energy region of its excitation spectrum. The differential cross sections for the population were extracted at the forward center-of-mass angles ( ) and compared with the FRESCO calculations. Spectroscopic factor of , derived by a model suggesting the clustering was found in accord with the experimental data. The energy spectrum of Li populated in the reaction shows the strong peak which corresponds to the excitation of the second excited state of Li (2.25 MeV, ). The fact that the ground and the first excited states of Li were not observed in this reaction is consistent with the shell-model structure of the nuclei involved.