诛求无厌

incessant exorbitant demands

to put (a criminal) to death / to punish

exorbitant demands / demanding with menaces / extortion

to seek / to look for / to request / to demand / to beseech

not to have / no / none / not / to lack / un- / -less

(bound form) to loathe; to be fed up with / (literary) to satiate; to satisfy