The consequences of something are the results or effects of it.

If one thing happens and then another thing happens in consequence or as a consequence, the second thing happens as a result of the first.

Something or someone of consequence is important or valuable. If something or someone is of no consequence, or of little consequence, they are not important or valuable.

If you tell someone that they must take the consequences or face the consequences, you warn them that something unpleasant will happen to them if they do not stop behaving in a particular way.