Here it is the list of them: 

• Iberian
• Medjai
• Cyrenian
• Quadi
• Paeonian
• Charioteer
• Megarian
• Semnone

You can speed up Acolyte Unit training with Elysian Boosts. You can also increase the speed of Acolyte Unit training by updating each Unit's Cult Agreement.

It means that only these aspects of the game influence the training speed of these units. However, thanks for raising this topic. We will add a more detailed explanation into the tutorial to make it clear for players. 

as you can see there it does not say. "you can not use the phalax boosts" so that link does not mean anything if the info is not correct.

why being phalanx units, the boosts of phalanx that ALL OF USED & BOUGHT for nothing (and actually we should get back that boost as it was deceit information), does not work and it does not specify that anywhere?

does it mean that other boosts dont affect them? which other boosts affect and do not affect?  could you be more especific, ... tell us all the info and we will not feel lied