My experience with Lyotards had been that you can never adjust them to be as quiet as most other good pedals as the materials used in the bearing assemblies are as crude as parts you might find in an old Chinese SKS rifle (bordering on cottage industry primitive). I remembering fiddling with my and my borther's Lyotard rattraps many times trying to eliminate wthe bearing rumble in them by cleaning them , installing new bearings. applying lots of Phil Wood grease and carefully adjusting the bearing retaining nuts on them repeatedly. I got them so they did not do any odd clicks or crackling sounds but the bearing rumble was pretty much permanent, even from new from the factory, when we first got out Peugeot with them. One good thing about them was they did not break down on the road or ever sieze on us, despite their noisy bearings.
You might also want to check if the swaged steel cages on them might be getting loose on their mounts. and causing that clicking sound.

Chombi