The contribution of galactic supernova remnants (SNRs) to the origin of cosmic rays (CRs) remains an important open question in modern astrophysics. Because CRs generated in SNRs will interact with dense circumstellar material (CSM) or molecular clouds and then utter non-thermal emission, non-thermal emission from SNRs can bring us energy budget and production history of CRs in SNRs. We perform hydrodynamic simulations to model the long-term SNR evolution from explosion all the way to the radiative phase (or 300,000 yr at maximum) by using CR-Hydro code developed by previous work and compute the time evolution of the broadband nonthermal spectrum. We assume uniform density media for the ambient environment of Type Ia SNRs and constant mass loss rate with outer uniform density for core-collapse SNRs, created by the stellar wind of a massive red supergiant star. Our results from a parametric study of environment density reveal a highly diverse evolution history of the nonthermal emission closely correlated to the environmental characteristics of an SNR. Up to the radiative phase, the effects of CR reacceleration and ion-neutral wave damping are studied. More detailed discussions or an assessment of the next-generation telescope mission in X-ray band JEDI (which is referred as FORCE in the paper) are found in Kobashi et al. (2022).