Director Wray refuses to provide Congress with any info on that topic. So yes the FBI had a hand in creating that document.
I had heard that the FBI continued to pay Steele for his investigation even after completion of the dossier.
This question and was it the basis for FISA warrants now has been asked numerous times - the fact that the FBI won't answer is damning and leads anyone sensible to the conclusion that yes the FBI did exactly that.
If they knew they didn't we would have heard a NO shouted from the leaky roof tops. Time to start pushing that they paid for the Dossier and used it to get FISA warrants as an accepted fact - make the MSM defend the FBI by denying it - make the FBI deny the allegation.
The FBI desperately trying to retroactively setup the legitimate side of their Parallel Construction (Another illegal practice) to pawn off as justification - America is watching now and president Trump just turned up the heat