Sorry for the allegorical language if it offended you.
There is a difference between not finding a solution for a problem, and not even understanding what a solution may look like even in the abstract form.
It is also not a good sign when the problem gets to be more of a mystery the more science we discover.
The concern here is that we have an irrational view that rationalism is a universal tool. The fact that we have unsolved scientific and intellectual problems is not a proof of that. The fact that there seem to be problems that in their very nature seem to be unsolvable by reason is.
If all science must be in theory falsifiable, and evolution is good science, can you give me some parameters or predictions that if they were found to be true would hurt the theory of evolution?
What would scientists need to find in the future that would seriously do damage to the theory?