Do the FIB and the IAA know what Steve Haines did before he died in GTA V?

Do the FIB and the IAA know what Steve Haines did before he died in GTA V?
Do the FIB and the IAA know what Steve Haines did before he died in GTA V?
Do the FIB and the IAA know what Steve Haines did before he died in GTA V?
Do the FIB and the IAA know what Steve Haines did before he died in GTA V?

In the mission "The Wrap Up" during the Mexican Standoff, Haines says, "They know or think they know that I was the one behind the incident"(not sure if he's referring to the bureau heist or the humane labs raid) and, considering that all evidence against Haines was deleted, and Haines was killed, did the FIB search through Haines's stuff or did they search through any phone calls Haines made? If they did, wouldn't the FIB hear that Michael or Dave were involved in any of the calls?

Do the FIB and the IAA know what Steve Haines did before he died in GTA V?
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