Yveltal with "Fright Night" Ability knocks out Wobbuffet with the "Bide Barricade" Ability which was turning "Fright Night" off. Does Exp. Share on the Benched Pokemon behind Wobbuffet work?
Yes, since Wobbuffet was not yet in the Discard Pile, Fright Night remains off and Exp. Share works.
Source: TPCi Rules Team (2017-04-20)
Say I have an Active Pokemon with Energy Pouch attached and a Benched Pokemon with Exp. Share attached. If the Active Pokemon is KO'd, how do the effects of the tools resolve?
You may choose the order in which the tools' effects resolve. There is no preference of one tool over the other in this situation.
Source: TPCi Rules Team (2017-04-20)
If my Yveltal with "Fright Night" Ability gets KO'd, am I then able to use Exp.Share on one of my Benched Pokemon to recover one of Yveltal's Basic Energy cards?
Sorry, but no. Fright Night would still be working so Exp.Share would not enable before Yveltal hits the Discard Pile.
Source: TPCi Rules Team (2017-01-05)
If a player with Exp. Share on a benched Pokemon has discarded their Active Pokemon and its attached energy due to KO from an attack and already promoted a new Active Pokemon, have they missed the opportunity to use Exp. Share?
Promoting a new Active Pokemon takes place after the knockout, so at that point it would be too late to use Exp. Share.
Source: TPCi Rules Team (2016-10-27)