As multiple questions have answered, the Jedi by the end of the war, learnt that Tyranus was Dooku. As Obi Wan says,
"Tyranus? You are the man called Tyranus?"
Now, during Attack of the Clones, Jango Fett says to Obi Wan:
I was recruited by a man called Tyranus on one of the moons of Bogden.
As correctly confirmed later on, the Jedi in a council meeting acknowledge that their army was funded by their opponent and that this was the plan of the Sith Lord. Their decision to not make this publicly known is understandable, as shown by the quotes below (also found in another question).
Yoda: "Know now we do, that guide the creation of the clones from the beginning, Dooku did."
Mace Windu: "Hmm, our enemy created an army for us."
Ki Adi Mundi: "If this was known, public confidence in the war effort, the Jedi, and the Republic would vanish. There would be mass chaos."
Yoda: "Cover up this discovery we must. No one, not even the Chancellor, may know. Valiant men the clones have proven to be. Saved my life, and yours they have many times. Believe in them, we must. Win this war swiftly we must, before our enemy's designs reach completion, whatever they may be."
Mace Windu: "Are you sure we are taking the right path?"
Yoda: "Hmm, the right path... no. The only path, yes. Designed by the Dark Lord of the Sith, this web is. For now, play his game, we must.
All up to this point have been explained in other questions, I'm aware of this.
What does not make any sense to me is their decisions to not communicate with the clone makers in Kamino. Only a few episodes earlier, we saw Nala Se communicate with Tyranus. Only a few episodes earlier, a clone killed a Jedi and Fives tried to warn the Jedi. Not informing the public is logical, however not checking on the clones and their inhibitor chips doesn't make any sense.
Additionally, why would they not communicate with the Kamino-ans? I mean they knew the truth from the beginning, there wouldn't be any damage if they asked, what requests had Tyranus made to you and playing along with the responses, the same thing Obi Wan did in Attack of the Clones. That won't reveal to them he was Dooku, but will lead them to learning about Order 66, especially considering the recent events with Tup and Fives.
I mean the so valiant and trustworthy clones had just killed a Jedi and that combined with the fact they're hired by Dooku and the (granted, even if it was disillusioned) warning of Fives about the inhibitor chip, gives out Order 66 immediately without even harmlessly asking the Kamino-ans.
How can such an oversight be even explained?