Supercapacitors are demanded by energy storage devices for both fast charging and discharging performance as well as extended life cycles. The design and manufacture of higher supercapacitor electrodes help a device to function much better. Ag nanoparticles were produced on Fe-MOF and Mn-MOF using the hydrothermal synthesis technique to synthesize unique composite material called FeMn-MOF/Ag (NPs). These refined composites find use in supercapacitors, hydrogen evolution reactions (HER), and electrochemical sensors. Highly conductive silver nanoparticles were added to FeMn-MOF with high rate capability. Apart from their inherent benefits of metal–organic frameworks, the as-made FeMn-MOF/Ag nanoparticles also improved electrical conductivity. When the scan rate was 3 mV s−1, the FeMn-MOF/Ag (NPs) showed a specific capacity (CV) of 1417 C g−1. Similarly, when the applied current density was 2 A g−1, it displayed a specific capacity (GCD) of 2346 C g−1. The FeMn-MOF/Ag (NPs)//AC asymmetric supercapacitor exhibited an energy density of 13 (Wh/kg) and a power density of 1685 (W/kg). For the hydrogen evolution process, the material exhibited an overpotential of 90.22 mV and a Tafel slope of 58.4 mV dec−1. Furthermore, it exhibited exceptional durability in cycling, maintaining 93.3% of its capacitance after undergoing 12,000 cycles. Therefore, these results offer crucial insights into the progress of different electrode materials. The results suggest that FeMn-MOF/Ag nanoparticles possess advantageous characteristics suitable for utilization as electrodes in supercapattery and HER (hydrogen evolution reaction) applications.