Highly Adaptive properties of soft matter has made a topic of great interest in many fields of research. Some of which include mechanical, microfluidics, biomedical applications, and other applications. However, little is known about the multiscale dynamic mechanical response of these soft matter and their fiber reinforced composite structures. More specifically, little is known about the effects of multiscale structures and their effects on the dynamic mechanical response of these composite structures. In addition, the nonlinear and dissipative viscoelastic behavior of soft matter and its fiber reinforced composite structures makes it challenging for researchers and scientists to develop structures with a desired dynamic mechanical response. This is specifically true for researchers working in development of structures with improved shock damping response. Therefore this thesis will focus on developing and characterizing the multiscale dynamic mechanical response of novel soft matter and their fiber reinforced composites for improved shock damping response.