Q: why does my phone not auto start to back up when connected to i tunes

It's very hard to decipher your question.  For one thing, although you posted in the "iTunes for Mac" section, you attached an article above that is Windows-specific.  So we don't know even what type of computer you have, much less the iTunes version.

So with so little information, I will take a guess this might have your solution:

If iTunes doesn't recognize your iPhone, iPad, or iPod - Apple Support