'U.S.-influenced' is a compound formed from the abbreviation 'U.S.' (United States) and the past participle 'influenced', itself derived from the noun 'influence'.

'Influence' comes from Old French 'influence' and Latin 'influxus'/'influere' meaning 'to flow into'; the past participle 'influenced' developed via regular English verb formation, and the compound 'U.S.-influenced' is a modern formation combining the abbreviation 'U.S.' with the participle to mean 'affected by the United States.'

Originally related to a sense of 'a flowing in' (Latin), the term 'influence' evolved to mean 'the power to affect or change' and 'influenced' now means 'affected or shaped by'—in this compound specifically 'affected by the United States.'