Azimuthal anisotropy of produced particles is one of the most important observables used to access the collective properties of the expanding medium created in relativistic heavy-ion collisions. In this paper, we present second () and third () order azimuthal anisotropies of , and at midrapidity () in Au+Au collisions at  GeV measured by the STAR detector. The and are measured as a function of transverse momentum and centrality. Their energy dependence is also studied. is found to be more sensitive to the change in the center-of-mass energy than . Scaling by constituent quark number is found to hold for within 10%. This observation could be evidence for the development of partonic collectivity in 54.4 GeV Au+Au collisions. Differences in and between baryons and antibaryons are presented, and ratios of are studied and motivated by hydrodynamical calculations. The ratio of of mesons to that of antiprotons shows centrality dependence at low transverse momentum, presumably resulting from the larger effects from hadronic interactions on antiproton .