Taliyah had it a bit rough in Set 9.0 after receiving severe nerfs to her starting mana and damage. With Set 9.5 she has now 20 starting mana and also three new units that will make her proc her passive: Qiyana, Nautilus and Ixtal Ryze.
This comp is still VERY Augment reliant, so if you want to find success I suggest you only play this if you have Double Trouble as your starting Augment. This allows you to run multiple Taliyah, Sett and Nautilus to maximize your knock-ups and getting great use out of the Augment.
The core concept is to push for Level 6 in Stage 3-2 and roll for upgrades and an additional copy to keep Double Trouble activated. Afterwards you recover your economy and go for another roll down between Stage 4-2 and Stage 4-5 to find your 3 Stars to stabilize. This comp does not require 4 Multicaster, the concept is to run units that will make Taliyah proc her passive, adding units like Twisted Fate or Vel'Koz will only make you weaker.