trace, rub a copy of a stone inscription
搨 centers on making a copy by pressing and rubbing: tracing or rubbing a copy of a stone inscription. The two given meanings are closely related applications of this same physical action.
搨 combines 扌 (hand) with a phonetic component that likely contributed the sound トウ. The right side is complex and its exact historical origin is uncertain, but the character as a whole expresses a hand action related to copying or rubbing.
The hand radical 扌 on the left suggests a manual action. The right side looks like a wing 羽 over a sun 日 with two strokes below, as if pressing a wing-like tool onto a surface to trace or rub a copy.
For トウ, imagine using your toe to rub a tracing onto paper: toe -> トウ, and your hand guides the rubbing motion.