Kresling origami metamaterial patterns have garnered significant attention due to their unique mechanical responses, including foldability, reconfigurability, quasi-static energy absorption, vibration control, and distinctive load-deflection behavior. While most previous studies have focused on traditional methods for analyzing linkage kinematics and static characteristics [1-3], this work introduces a novel approach: magnetically controlled vibration mitigation in elastically driven origami systems, emphasizing mode shape tuning. In this study, we computationally investigate the vibration mitigation capabilities of magnetically actuated Kresling origami structures [6]. These architected metamaterials exhibit highly nonlinear behavior stemming from inherent geometric constraints, making their dynamic responses under external disturbances complex and, at times, chaotic [4-5]. However, this behavior is programmable through geometric design and magnetic control. We demonstrate vibration suppression using magnetic actuation and analyze the static response of the system embedded with hard magnetic active elastomers [4]. The results reveal that magnetization significantly influences the dynamic response of the system. A comparative analysis is presented between magnetic and non-magnetic configurations, highlighting the benefits of magnetic tuning in system behavior. Using a developed mathematical model, we explore magnetically controlled large deformations and superimposed vibration excitations in a cylindrically designed, origami-inspired metamaterial. A programmable, single-unit Kresling origami metamaterial is designed, and numerical and FEM-based simulations are performed to illustrate steady-state periodic and chaotic responses and the snap-through behavior characteristic of softening and hardening spring-like systems. This work provides new insights into the geometrical and magnetic control aspects of vibration mitigation in origami systems, with potential applications in elastically driven aerospace structures, soft robotics, and medical devices.