In most versions of Lovely Craft, this achievement triggers when you use a to move a block that then kills or displaces a mob (or, in some updates, another player).
You need to wire the redstone so that when a mob steps on the center block, the pistons push the cage blocks together over the mob's head.
✅ Trap deals damage ✅ Damage source is moved by piston (not just a static cactus) ✅ You’re in Survival mode with achievements enabled
Specifically, the achievement requires you to kill a mob by activating a piston that pushes a block into an arrow, which then flies into the mob. (Yes, the game tracks the kill credit. No, you can’t just punch it.)