'intentionally-aided' is a modern compound formed in English from the adverb 'intentionally' and the past participle 'aided' (from the verb 'aid').

'intentionally' comes from 'intentional' (Middle English/Modern English) ultimately from Latin 'intentio'/'intentus' via Old French and Late Latin; 'aided' is the past participle of 'aid', which came into English from Old French 'aider', ultimately from Latin roots such as 'adiuvare' (to help). The two elements were joined in Modern English to form a compound adjective.

Each element originally meant 'with intention' (intentionally) and 'to help' (aid); combined they mean 'helped on purpose', a straightforward compositional meaning that has not substantially changed.