For devices that don't offer the "last compatible version" prompt, jailbreaking allows you to use a tweak that forces the App Store to provide it.
If you need a specific IPA file for sideloading, the hosts a collection of uncracked social media IPAs.
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Instead of unverified IPAs, you can try these established methods to get a functional version:
Jailbreak your device (e.g., using Phœnix for 9.3.5) and install the Checkmate, Store!
: If you haven't "purchased" the app before, use a computer to install iTunes version 12.6.5 (which still includes an App Store). Log in with your Apple ID and "buy" Facebook there. Once it's in your library, it will appear in the Purchased section of your iOS 9.3.5 device for download.