Mobile app security testing services that stop at the login screen miss the point. The attacker owns the device your app runs on. They can unpack the binary, read what you stored, hook what you call, and rewrite what you send, and none of that touches your server until it is already trusted.
We test iOS and Android builds the way that adversary does: static analysis of the shipped package, dynamic analysis on a rooted or jailbroken device, traffic interception through your pinning, and reverse engineering of the parts you assumed nobody would read. Then we test the backend the app talks to, because that is where the data actually lives.
Most mobile findings resolve into one of three sentences: it was stored in the clear, it was sent without protection, or the server trusted the client. If your API is the larger asset, pair this with an API security assessment; if you can share the source, source code security review reaches further into the same code.