The cosmological argument (this version) is usually refuted by "parts of whole applied to whole", but this is wrong, it's induction and even if with that, there is a right way to apply parts to a whole and a wrong way. This if it was, would be a right way, but it can be proven without that, simply by induction.
This "eternal universe with no cause turns into a timed universe with rules to it's parts and because a series of cause and effects and limited by that, but before had no cause and effect rule to it" is crazy talk and insult to intelligence. It's hard to entertain.
It's like saying before the universe, math didn't apply it, it could be 1+1 = 8, and that would be rational to believe.
Even if the case maybe math rules only apply in our universe (sake of argument), and in some universes 1 + 2 =6, and cause and effect is only true of our universe, but is not true in all possible worlds, and that a universe before that existed in a timeless state, this billions of time less likely, and there is no reason to assume it.
It's more logical to assume the same rules applying to universe would have to apply to it before plank time.
Therefore at the very least, this should a highly "likely" argument for God. It doesn't proven him for certain, but it's way more likely then a universe where irrational things happen like "from nothing, nothing follows" not being true there.
There is also the issue if it was eternal, it would span before start and go beyond "end", and be infinite, how did shrink to plank time seconds? Come on think about it.