We present medium-resolution optical (lambda/ Delta lambda ~ 4000) and near-infrared (lambda/ Delta lambda ~ 8000) spectral data for components of the newly discovered WISE J104915.57-531906.1 AB (Luhman 16AB) brown dwarf binary. Compared to the strength of K I line absorption in equivalent spectral subtype brown dwarfs, Luhman 16A is weaker while Luhman 16B is stronger. Analyzing the spectral region around each doublet in distance scaled flux units and comparing the two sources, we confirm the J-band flux reversal and find that Luhman 16B has a brighter continuum in the 1.17 mu m and 1.25 mu m regions than Luhman 16A. We calculate bolometric luminosities from observed data supplemented with best fit models for longer wavelengths and find the components are consistent within la with resultant T sub(effs) of 1310 + or - 30 K and 1280 + or - 75 K for Luhman 16AB respectively.