In the past decade, astronomers have pioneered multi-messenger astronomy, merging electromagnetic signals from radio to gamma-ray wavelengths with neutrino and gravitational wave signals. This approach enhances our understanding of astronomical phenomena. The challenge lies in managing the diverse data sets, typically available as ORD, used in multi-messenger data analysis. Reproducibility and traceability of results to raw observational data are essential for implementing the "Findable-Accessible-Interoperable-Reusable" (FAIR) principle. The project offers a solution: cloud-based ORD data analysis services (ORDAS) to ensure result reproducibility and ORD reusability. These services will be developed for two next-generation facilities, the Cherenkov Telescope Array (CTA) and Square Kilometre Array (SKA). The power of ORDAS will be showcased through a Multi-Messenger Online Data Analysis (MMODA) platform, engaging the multi-messenger astronomy community in ORD practices for transient multi-messenger astronomical source studies requiring on-the-fly analysis of multi-messenger ORD.