I think the League Cup has become completely outdated – it’s worthless – get shut I’d say.
I’d also get rid of the Europa League, as that is also a pretty rubbish competition when compared with the Champions League.
Instead, I’d have an extended (doubled in size) Champions League, that includes national cup winners for the major leagues (i.e. FA Cup winners for England), and qualifying would probably go up to around 6th place for the Premier League.
The results of this would be:
Great motivation to win the cup – teams would send good sides out
Better competition within the premier league, as wealth to be spread out more evenly (i.e. chances for the likes of Everton, Southampton etc to get into Champions League)
Keeps bigger clubs happy since they have a greater chance to get into Champs League
No more mickey mouse cup games