TeV-mass dark matter charged under a new GeV-scale gauge force can explain electronic cosmic-ray anomalies . We propose that the CoGeNT and DAMA direct detection experiments are observing scattering of light stable states — “ GeV-Matter ” — that are charged under this force and constitute a small fraction of the dark matter halo . Dark higgsinos in a supersymmetric dark sector are natural candidates for GeV-Matter that scatter off protons with a universal cross-section of 5 \times 10 ^ { -38 } \mathrm { ~ { } cm } ^ { 2 } and can naturally be split by 10–30 keV so that their dominant interaction with protons is down-scattering . As an example , down-scattering of an { \cal O } ( 5 ) GeV dark higgsino can simultaneously explain the spectra observed by both CoGeNT and DAMA . The event rates in these experiments correspond to a GeV-Matter abundance of 0.2 - 1 \% of the halo mass density . This abundance can arise directly from thermal freeze-out at weak coupling , or from the late decay of an unstable TeV-scale WIMP . Our proposal can be tested by searches for exotics in the BaBar and Belle datasets .