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The MAJORANA DEMONSTRATOR is a $^{76}$Ge-based neutrinoless double-beta decay($0\nu\beta\beta$) experiment. Staged at the 4850 ft level of the SanfordUnderground Research Facility, the DEMONSTRATOR operates an array ofhigh-purity p-type point contact Ge detectors deployed within a graded passiveshield and an active muon veto system. The present work concerns thetwo-neutrino double-beta decay mode ($2\nu\beta\beta$) of $^{76}$Ge. For Gedetectors, having superior energy resolution (0.1%), this mode poses negligiblebackground to the $0\nu\beta\beta$ mode, even for a ton-scale experiment.However, the measurement of the $2\nu\beta\beta$ mode allows for carefulsystematics checks of active detector mass, enrichment fraction, and pulseshape discrimination cuts related to both the $0\nu\beta\beta$ and$2\nu\beta\beta$ decay modes. A precision measurement of the $2\nu\beta\beta$shape also allows searches for spectral distortions, possibly indicative of newphysics, including $0\nu\beta\beta\chi$. Work is underway to construct a fullexperimental background model enabling a Bayesian fit to the measured energyspectrum and extraction of a precise $2\nu\beta\beta$ spectrum and half-life.

Progress Toward A $2\nu\beta\beta$ Measurement For The Majorana Demonstrator