You are correct that this is the same Peter Daszak that is president of EcoHealth and he appears as an author on some papers put out by WIV concerning bat coronavirus research. He was also the only American representative the WHO allowed on the Wuhan visit and investigation earlier this year, after the WHO rejected three other nominees from the Trump administration. There are massive conflicts of interest all over his involvement in this tale.

The other department you are thinking of is NIAID, which is a sub agency of the NIH. Fauci runs NIAID. The EcoHealth grant which went to WIV was from NIAID/NIH. You can find links to the actual grant from this fact check (https://www.usatoday.com/story/news/factcheck/2020/05/04/fac...), which ironically is one of these deceptive fact checks that claims something is false in the headline, then claims deep in the text that it is only partially false, all while the original claim is actually essentially true.

As an aside, Professor Ebright from Rutgers described the EcoHealth-WIV research as “unequivocally” gain of function research (https://www.factcheck.org/2021/05/the-wuhan-lab-and-the-gain...). He also accused NIH/NIAID of systematically undermining and avoiding oversight processes that were meant to prevent dangerous grants like this, especially since GoF research was banned in the US (https://www.dailysignal.com/2021/04/06/fauci-must-explain-wh...). Ebright also accused Fauci of lying during the recent senate hearing where Senator Rand Paul questioned him (https://www.nationalreview.com/news/biosafety-expert-explain...). Ebright was also one of the few brave signatories on the March letter pointing out flaws with the WHO investigation and study, and asking for a new investigation (https://www.nytimes.com/interactive/2021/03/04/us/covid-orig...).