The present paper describes novel low frequency (LF) 1H NMR energy relaxation time signal analysis for mapping the different chemical and morphological domains in complex cattle manure (CM) and cattle forage (CF) biomass. Relaxation signals generated by different absorbed water pools and aliphatic chains are analyzed by specifically designed sparse representation methods and a convex optimization PDCO solver, for generating 2D T1 (spin–matrix) vs T2 (spin–spin) energy relaxation time spectrum graphics and 3D graphs that include 1H population density. Using analytical spectral analyses and spiking assignment with material standards of the individual T1 vs T2 peaks in the generated CM graphics, a morphological and chemical domain dictionary was formulated demonstrating well resolved signal peaks and a better understanding of the different chemical and morphological structural organization within the complex biomass material. This benchtop proton LF-NMR relaxation sensor system and its signal generation into...