I am having the same problem as well. I am disgusted with Apple's disregard to its users. I use OS 10.6.8 with iTunes 11.4. The most current version of iTunes available for download (12.3) is which requires OS 10.8.5.
We are sold the idea that the latest and greatest version of whatever software Apple has become available is what we need to operate properly. However, it should not come at a cost. Backwards compatibility is very important, particularly in today's age where the technology changes far quicker than the average consumer can keep up with it. 9.0.2's disregard for older versions of iTunes is that you cannot back up your iPhone on your laptop/iMac, since it does not recognize the phone. I connect my iPhone to my iMac nightly to sync everything and perform backups. This is no longer possible.
It is hoped that Apple will see error of their ways. The fact that I have brought my iPhone to no less than two Apple stores and staff was unaware of this notable glitch in the 9.0.2 upgrade speaks volumes, meaning the average user would not have found this upon researching it.
iMac, OS X (10.6.8), Intel Core 2 Duo
iTunes 11.4
iPhone 5c, iOS 9.0.2