Our research aims to enhance the representation of mesoscale eddies in ocean models, particularly for eddy-permitting resolutions, by incorporating a dynamic backscatter parameterization and additional stochastic perturbations. This study addresses several key modeling issues, including enhancing the representation of missing variability through stochastic forcing, the need for incorporating stochastic terms alongside dynamic backscatter, the propagation of energy across scales and regimes, and distinguishing between different stochastic approaches. The output data from the FESOM2 model (https://fesom.de/) is available here. The file names include information about the corresponding plot in the paper, the simulation name, and the relevant diagnostic variable. Additionally, the uploaded data includes the high-resolution array used to produce stochastic perturbation.