1. a result or effect, typically one that is unwelcome or unpleasant: abrupt withdrawal of drug treatment can have serious consequences | many have been laid off from work as a consequence of government policies.
2. [mass noun] [usu. with negative] importance or relevance: the past is of no consequence.
2. a marked effect or influence: our regional measures have had a significant impact on unemployment.
Maybe impact is more forceful/marked/long lasting than consequence?