Covalently cross-linked elastomers are widely recognised for their excellent elasticity, which makes them essential for a number of applications such as medical implants, tires, seals etc. It is extremely desired to develop flexible and self-healing rubbers since they are capable of being reprocessed to increase their lifespan and reduce environmental pollution. This work demonstrates a straightforward approach to develop mechanically resilient, healable, and recyclable elastomeric vitrimer based on EPDM elastomer. This was accomplished by using a dynamic dual cross-linker, which can induce disulphide metathesis as well as transesterification reaction in epoxidized EPDM. In this case, the EPDM was epoxidised to prepare E-EPDM by using meta-chloroperoxybenzoic acid (mCPBA) as an epoxidising agent. The epoxidation of EPDM is confirmed by 1H NMR and FT-IR analyses. The dynamic dual cross-linker with disulphide linkage bearing dicarboxylic groups, i.e., (4,4'-((disulfanediylbis(4,1-phenylene))bis(azanediyl))bis[4-oxobutanoic acid] (BBO)) was synthesized by reacting of 4-aminophenyl disulphide and succinic anhydride in DMF solvent at ambient temperature under inert atmosphere. The formation of cross-linker was confirmed by 1H NMR, MALDI-TOF, and FT-IR analyses. The epoxy group of E-EPDM reacted with dicarboxylic groups in BBO to form β-hydroxy ester functional groups, which undergo exchange reaction. This exchange reaction along with the metathesis reaction of disulphide present in BBO installs mechanical resilience, self-healing, and reprocessibility in the modified EPDM.