No, Manon is correct, the FT, stamina and gameshape training is not affected by the level of the trainer that you have.
What happened was that your players' FT level was low on the sublevel, hence the training wasn't enough to bring to the next level. But there's no doubt that all of your players' FT sublevels have increased.
Also you're seeing this probably because currently there is a problem with the training and the training hasn't been completed, even though it says it has been completed on the news. Just wait for another couple of hours and you will probably see that some of your players have popped in FT.
Also no need to use verbal violence. Humans are more civilized than that.