What is Cerberus' involvement in the Andromeda Initiative

3 Shell Toilet Paper on Tempest, Cerberus Confirmed.

Feel free to disagree with me because I can't recall the source (might be from a BioFan video) but a dev stated that the Illusive Man was too busy and cerberus's funds were too tied up with Project Lazarus for him to be a part of it. I honestly don't want them to be a part of it. There is nothing new that cerberus can bring, we have seen all they have to offer. I think it would be better to have a covert group of Rogue STG or Turian Blackwatch that has an anti-human agenda. That would be new. Also if Cora is Jack Harpers kid, I want her to have no idea. Like if she was born after he went to the first contact war and then he completely disappeared as the Illusive Man. Miranda already gave us the running from super powerful daddy storyline. I want new stuff, not the rehashing off old stuff. To be clear I am totally cool with shady shit happening in the andromeda initiative, I just don't want cerberus anywhere near it.

Yes that is a good point, but if you're writing a story you always have to be careful with how you name your characters. You don't just give one of the squadmates the same name as one of the main villans. For all we know, Arterius (Sarens last name) could be a common turian name and if Vetras last name was "Arterius" instead of "Nyx" people would instantly think they are involved somehow. 
My point is, when writing a story don't give two important chraracters the same surname, even if it is a extremely common surname, unless these two characters are indeed related. 

it's posible that they are involved but they don't have any authority in the iniciative
i really hope Cerberus is not in Andromeda at all,
that story ended

Not trying to be rude, but you're definitely overestimating the capabilities of Bioware's writers when you think something like that can't or shouldn't happen.

We are not going to see old style Cerberus but I believe some of their agents infiltrated the inititative to bring the idea of Cerberus in Andromeda. This doesn't mean that we are going to have Cerberus there in the same way,fashion and name. I believe that Alec was a cerberus agent back in the Milky Way.
Also Cerberus weapons in Andromeda before they were massively produced and used in ME3 war? Yeah not suspicious at all. I think that Cerberus infiltrated part of the human side of the Initiative.

Nonexistent... I hope.

cerberus may have manufactured it but that doesn't mean they're involved. The devs haven't confirmed anything.

Doesn't a big accident happen to the human Ark? If it kills a load of people, Cerberus must be involved.

Not necessarily - with cybernetics (and the stuff that brought Shepard back) he might live more or less forever (kind of like the keepers and the collectors, he's not above using Reaper-Tech after all!)

Still, I could see him playing "the long game" (isn't his GF an Asari (and a Matriarch)?)...he is intelligent enough to consider his own life meaningless in the long run (he would probably sacrifice himself if it made what he wants come to pass (humanity being at least as strong as the other council races - or stronger if possible!))

greetings LAX

Indeed, he was just damned missguided (probably by the beginning of indoctrination taking route...I don't believe the damned Bratalyst when it says that he was fully indoctrinated!), but not a total puppet of the Reapers (hell, he messed with their control signals for their fucking troops and made his own husks more or less!)

greetings LAX

The illusive man could have given the AI program the resources it needed to get the project going and to build the arks he has plenty of money to spare after all he put trillions into bringing back shep.

I don't want them to rehash cerberus im fine with some mentions but new story new enemy's i don't want cerberus showing up and taking the spotlight away from the kett and having to beat them yet again.

As for Cora if she is the illusive man daughter it doesn't mean she is working for cerberus we known she has worked with Asari commandos so she might not share the same pro human views as him. Maybe she wanted to join the program to get away from her father.