Specifically, I am curious about Dick Grayson, as he's the Robin in both shows. The interesting part is thus: Cyborg and Raven from the Teen Titans are both founding members of The Justice League, and are similar in age to Robin. Robin in Young Justice is a part of the team of sidekicks of The Justice League.
This doesn't make sense to me, seeing that in the first few episodes of Young Justice, he is told to be 13, and we know via the sneak peak to his middle school that Robin from YJ is Dick Grayson.
If Cyborg being of similar age to Robyn is Dick Grayson in TT, then how (being that Cyborg helped found the JL) can Dick Grayson not only be Robin in YJ, but also be 13 in that.
Now if we take it as Tim Drake (whose predecessor is Dick Grayson) is Robin in TT, then we get an even bigger time gap, and time seems to loop on itself, with Tim Drake being younger and at the same time older than Dick Grayson. This leads me to the ultimate question of:
Where does Teen Titans fit in with Young Justice continuity?