Seems like the infinite scroll only works for blog template.
I had created a page, named it Blog. Use blog template for Blog page and set it as your homepage.
There is also a bug with loader image, it should be named loader.gif and not loader.GIF
I had fixed on your website. Will report this issue to my employer.
Another bug, is the alignment of post.
I had to add the following in your Theme Options -> Custom CSS
If not, the post does not line up properly, there is missing empty space.
Sorry, I had deactivated your jetpack plugin while troubleshooting, you will have to make the connection again.
Working properly on your homepage now.