there is a group called the Shaykhis. I do not know their exact beliefs, but the ones I have talked to claim that the Ahlul Bayt created the universe, distribute wealth and perform miracles by their own doing.

They do not believe in Tafwid, but they say that Allah has exercised His Will by using the Ahlul Bayt as His "Pen". That is, Allah created the world by giving the Ahlul Bayt power and the Ahlul Bayt exercised that power to carry out Allah's Will.

They also claim that the Ahlul Bayt know the timing of the Hour (the day of judgement), and that the Ahlul Bayt distribute rizq and maintain the world, and that they do miracles by the power given to them by Allah rather than them asking Allah or mentioning His name for permission and power to do the miracle

Are these people permissible to pray behind?

There are different branches of Shaykhis and each branch has different beliefs, so it’s difficult to generalize about their beliefs.

If they believe in the following:

1- The Ahlulbayt are creations of Allah and they are slaves of Allah
2- They reject Tafwid
3- Allah has empowered them to create and give sustenance

It doesn’t mean that they are deviants. Yes, some of our scholars might state there is no valid evidence for these beliefs, but if some believe there is evidence for it then it’s not kufr to believe in them as long as they don’t ascribe independent powers to them. As long as they say Allah gave them those powers then it’s not kufr and one can pray behind them.

There is a group called the Shaykhis. I do not know their exact beliefs, but the ones I have talked to claim that the Ahlul Bayt created the universe, distribute wealth and perform miracles by their own doing. They do not believe in Tafwid, but they say that Allah has exercised His Will by using the Ahlul Bayt as His "Pen". That is, Allah created the world by giving the Ahlul Bayt power and the Ahlul Bayt exercised that power to carry out Allah’s Will.

They also claim that the Ahlul Bayt know the timing of the Hour (the day of judgement), and that the Ahlul Bayt distribute rizq and maintain the world, and that they do miracles by the power given to them by Allah rather than them asking Allah or mentioning His name for permission and power to do the miracle

Are these people permissible to pray behind?

No