<p>The anchor flow effect embodies a unique characteristic of live streaming e-commerce, which can significantly improve consumers’ purchase intention and drive the widespread popularity of live streaming e-commerce. However, the escalating prominence of deficiencies in the quality of products and services provided by live streaming e-commerce presents a pivotal obstacle to its progress. In light of this, a dual-channel supply chain comprising a supplier and a streamer is examined to explore the interplay among three critical quality management decisions (quality inspection policy, product quality effort, and live streaming service quality effort), and how this interaction is affected by the anchor flow effect, spillover effect, and sales scenarios. Quality strategy models for the supplier and the streamer are established under different sales scenarios, taking into account the impact of the anchor flow effect and the spillover effect on dual-channel demand. Furthermore, a supplier-led Stackelberg game is utilized to optimize solutions and obtain optimal strategies for members across diverse sales scenarios. Through numerical simulation, the impacts of the anchor flow effect and the spillover effect on optimal quality inspection policy, quality effort decision, profits, and mode choice for members are examined to provide valuable insights for management.</p>