Hacer+que (to cause)
 

I'm trying to translate this sentence with the use of hacer que

He made the team move to albuquerque

would it be:

él se hizo que mudar el equipo a Albuquerque

appreciate the responses!

Not exactly the same meaning (I can't tell just by reading the original):

Hizo mudar el equipo a Albuquerque
Hizo que el equipo se mudara a Albuquerque.

How exactly did he achieve that?

The sentence is weird in the first place, even in English. If you use exigir it sounds strange too. He moved the team to Albuquerque using simple past would, in my view, be best. Unless he made a mistake resulting in their move to Albuquerque that is.