What does it mean in other words?
He was quoted as saying

THE CONTEXT:

Lynch also revealed that Saudi Arabia is using fear to create an unfair platform in order to execute people it deemed threat to its political power. He was quoted as saying “It is clear that the Saudi Arabian authorities are using the guise of counter-terrorism to settle political scores”.

Question

What does it mean in other words?
He was quoted as saying

THE CONTEXT:

Lynch also revealed that Saudi Arabia is using fear to create an unfair platform in order to execute people it deemed threat to its political power. He was quoted as saying “It is clear that the Saudi Arabian authorities are using the guise of counter-terrorism to settle political scores”.

Answer

It means that someone else has heard or seen Lynch's words (those inside the quotation marks "It is clear ......political scores.") and has re-stated them elsewhere.  Quoting someone else's words is usually done in news reports or when someone wishes to use a relevant passage - the quoted words - to support or attack  an idea depending on their own viewpoint.