How do they differentiate between senior and Staff in the interview process. What areas of STAR I should focus on while answering these questions and how to prepare for this round?
I see some companies have the first round where they decide on this
Any pointers on existing recording would help too.
Develop a very strong understanding of what an L6 looks like and work backwards to craft your narrative. Here are some resources to help there:
From an L6, I would expect the following:
If you don't have any stories that match those criteria, that's perfectly fine as Big Tech L5 still pays extremely well, usually more than Staff at non-Big Tech companies. I really don't recommend making up a story in this case, because if you have never operated equivalent to a Big Tech L6 before, you will likely get PIP-ed immediately if you were to get in as L6 somehow (especially given the current climate).
Here's some more specific resources:
This is not about behavioral interviews, but this blog post from Evan King about Staff-level system design interviews has some transferable knowledge: Standing Out in Staff Level System Design Interviews
In particular, the section about "Beauty in Simplicity"