The adaptor that you have pictured is not the one you require.
Instead, you need this type:

Notice the significant difference.
As far as I have always known, the adaptor I've pictured is known as a 30-pin female to male lightning adaptor. It may also be known as a 30-pin female to 8-pin male adaptor. I assume that I don't need to explain exactly why the ends are designated male and female.
However, I spotted the image (elsewhere) that you posted and their heading has incorrectly identified the male and female ends. One of the other pictures on that page has text in the picture, that is correct.
So no matter how the seller identifies the connector, the one you require needs to look like the one I have shown and it should be labelled as 8-pin (or lightning) male to 30-pin female.