Multidimensionality necessary for a successful explosion in theories of core-collapse supernova (CCSN) explosions has suggested that CCSNe are essentially aspherical. Whereas, observations of nearby objects, e.g., SN 1987A and Cassiopeia A (Cas A), have revealed non-spherical natures. However, how the explosions are connected to their supernova remnants has been unclear due to the lack of long-term multi-dimensional modeling. We have been conducting projects to link CCSN explosions to their supernova remnants via three-dimensional hydrodynamical simulations for SN 1987A and Cas A so far. Together with theoretical models for estimating observables, some hints at understanding the explosion mechanisms, progenitor stars, and compact objects have been deduced by the comparisons with observations. In particular, recent observations of carbon and silicon monoxides by ALMA and iron lines by JWST have provided interesting features on the chemical evolution and the explosion mechanism to be explained. In this talk, the results of several recent achievements including on the molecule formation in the ejecta of SN 1987A (MO+2023, submitted to ApJS: arXiv:2305.02550) are introduced.