Tiered Memory is critical to manage heterogeneous memory devices, such as Persistent Memory or CXL Memory. Existing works make difficult trade-offs between optimal data placement and costly data movement. With the advent of Intel Data Streaming Accelerator (DSA), a CPU-free hardware to move data between memory regions, data movement can be up to 4× faster than a single CPU core. However, the fine memory movement granularity in Linux kernel undermines the potential performance improvement. To this end, we have developed DSA-2LM, a new tiered memory system that adaptively integrates DSA into page migration. The proposed framework integrates fast memory migration workflow and adaptable concurrent data paths with well-tuned DSA configurations. Experimental results show that, compared to three representative tiered memory works: MEMTIS, TPP and NOMAD, DSA-2LM can achieve 20%, 30% and 16% performance improvement under real-world applications.