The stability of suction anchors and their surrounding soil is a critical area of research in offshore engineering, particularly in complex marine environments. Notably, beyond the structural integrity of the suction anchors themselves, the primary factors influencing their stability are the various complex cyclic loads present in marine settings. Suction anchors, subjected to the rigours of marine conditions, endure continuous various cyclic loads that result in the accumulation of excess pore water pressure around the anchor. This accumulation diminishes the soil's effective stress and the friction at the interface between the anchor wall and the adjacent soil. Such conditions can instigate seabed liquefaction, reducing the vertical resistance of the anchor's foundation and, in turn, compromising its pull-out capacity. The challenges to the structural integrity and reliability of suction anchors are particularly pronounced when these wave-induced loads are combined with other low-frequency cyclic loads, this combination exacerbates the difficulty in ensuring the long-term stability and reliability of these anchoring systems. This study introduces a theoretical framework to comprehend the physical processes involved in the interaction between waves, seabed, and suction anchors. It employs advanced numerical simulations to explore the complex dynamics of seabed soil around suction anchors under realistic composite loading conditions. The focus is on assessing the potential failure risks of suction anchors due to liquefaction in their sand foundations, aiming to enhance the safety and efficacy of offshore structure deployment. [...]