This trophy is titled "Hat-Trick and it's for successfully landing all 3 of Litchi's Distortion moves in one match. While I found this relatively simple to do in one round with two controllers, some may want to up the round count.
First and foremost we'll discuss building meter. If using two controllers, the best way is to attack with P2 and press back immediately after with P1 in order to do an instant guard. This way, you can build meter quickly without having to worry about defeating your opponent. The timing may be tricky at first but it pays off with all of the Distortions and Astral Heats you must execute. If you can't manage this, up the round count and beat the snot out of your foe (preferably Taeger, as he has the most health).
In order to execute each of these moves, the inputs are as follows. Have your controls on default or else the buttons may be different. After using each Distortion make sure to build your meter up to 50 again.
Thirteen Orphans- Plant your rod using D (X on default controls) with a 50% meter and then do a half circle away from your opponent, follow this up with a forward + D again and the staff should stand up and start punching. This one gave me some trouble, as the timing of flicking forward is a bit annoying. Thankfully, this is the only one that requires any effort.
All Green- Looking at the input makes this one seem like a pain, however if you have 50% meter you can simply flick left on the right stick and she'll execute the move. Make sure it hits your opponent.
Great Wheel- After building the meter up to 50 once more, flick down on the right stick and the move should be executed. Ding! Trophy won.