Topological thermal transport offers a quantum route to regulate heat flow through Berry-curvature-driven responses. However, approaches for dynamically switchable control of such transport are lacking. Here, we propose an interlayer-sliding-driven dynamical evolution mechanism to control topological thermal transport in bilayer antiferromagnetic electron crystals, exemplified by ${\mathrm{ScI}}_2$. Sliding breaks spin group symmetry, generates ferroelectric polarization, and reshapes layer-resolved Berry curvature, resulting in strong modulation of anomalous Nernst and thermal Hall conductivities as signatures of topological phase transitions. Giant thermal Hall peaks and Hall plateaus emerge under sliding, demonstrating amplified topological heat transport response. Reversing the sliding direction switches spin splitting and transport polarity, enabling direct reading of stacking order and motion direction. Our work uncovers topological thermoelectric characteristics and superior transport performance in sliding systems, providing new insights for thermoelectric device design and applications.

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• Ferroelectricity
• Thermal conductivity
• Topological Hall effect
• 2-dimensional systems
• Topological materials
• Tight-binding model