'asymmetrical-toothed' is a compound formed from the adjective 'asymmetrical' and the adjective/past-participial form 'toothed'. 'asymmetrical' ultimately comes from Greek via later Latin/French, while 'toothed' is built from Old English 'toþ' (tooth) plus the participial/adjectival suffix '-ed'.

'asymmetrical' derives from Greek 'asymmetros' (a- + 'symmetria'), passed into Late Latin and Old French before entering English as 'asymmetrical'; 'toothed' comes from Old English 'toþ' (tooth) which became Middle English 'tooth' plus the adjectival/past-participial suffix '-ed', producing forms like 'toothed' in Modern English. The compound arose in modern English by joining the two elements.

Individually, 'asymmetrical' initially meant 'not symmetric' (the sense has remained stable), and 'toothed' meant 'having teeth' (also stable). The compound simply combines these stable senses to specify 'having non-mirror-image teeth'.