<p>Offloading to cloud computing offers significant benefits in resource sharing and service availability, but it also raises challenges of security, latency, and adaptability in heterogeneous environments. This paper proposes a cross-technology cloud offloading model that enhances mutual authentication by combining SMS-based and image-based verification mechanisms. In addition, the model introduces context-aware task allocation, enabling dynamic balancing of security, latency, and usability according to operational conditions. A systematic review of prior work revealed that: (i) multi-factor cloud-to-client authentication remains a critical issue in current models; (ii) existing approaches often prioritize device efficiency while underemphasizing security; and (iii) current literature surveys inadequately address cloud protection across data, communication, and resource dimensions. Building on these findings, the proposed framework enhances authentication through SMS- and image-based verification, integrates context-aware task allocation, and is formalized through descriptive pseudo-code to make its operational flow concrete. The discussion examines the trade-offs of dual authentication and shows how flexibility and context-awareness help mitigate these challenges. Overall, this study contributes a system-level model that advances the design of secure and efficient cloud offloading, providing a foundation for prototype development and future empirical validation.</p>