<p>Real-world complex systems often exhibit collective higher-order interactions and adaptive feedback regulations, yet their combined effects on synchronization propagation dynamics remain largely unexplored. This paper proposes a dual adaptive multilayer Kuramoto model centred on synchronization propagation and its controllable regulation: the local synchronization level regulates pairwise interactions, while the global synchronization level modulates higher-order interactions. We introduce the synchronization penetration ratio to quantify the propagation range, identifying four steady-state synchronization propagation patterns. Our findings reveal that synchronization propagation is triggered by the seed layer and propagates through cascade expansion along a path from near to far. Further analysis shows that the propagation range exhibits high sensitivity to the local adaptation intensity, making it a key control parameter for tuning synchronization propagation. Finally, the low-dimensional reduction theory derived from the Ott-Antonsen ansatz demonstrates quantitative consistency with numerical simulations, providing analytical insights and theoretical underpinnings for the synchronization mechanism.</p>