How to get through resume screening round?

I'd say I'm a pretty strong PM with decent brand names on my resume (Top 5 non-IIM MBA, best-in-the-class SaaS startups). I've even optimized my resume to the satisfaction of a FAANG mentor. All in all, I think I should be getting call-backs. But that's not happening.

Weaknesses: No-name B-Tech college, no BigTech brand names, No large consumer brand names

Any advice or experiences? Especially from FAANG PMs and Hiring Managers?