Pulled a lot of stuff from Bath tub drain, now the clog is even worse!
I have found (over many years and snaking hundreds of drains) that the ability to get past a bend in the line is directly related to your technique (read, experience) and the tool you are using.
Cheap cables are prone to flex too much and are difficult to get around some bends, especially if you've kinked it (although I keep a few cheap ones, I call them &quot;noodles&quot;, for specific times when I need a soft cable). Also the cable size matters, small cable for small drain, larger cable for larger drain.
I highly recommend that you invest in a commercial quality auger with a cable that has a stiffening element in the core, like this:

I have owned the same one for &gt;25 yrs. and have never encountered a home branch line (tub, shower, sink) that I could not successfully clear with it.