Add colored reflection onto metal

Hello! 

I was wondering if anyone with experience in product/jewellery product shots knew the answer to my question: 

How do you add a technical coloured refelction to create the illustion that a product shot with a metallic element looks like it is sitting in-situ on a coloured background? 

The finished image should look like this:

But the product provided looks like this: 

You can see that there should be a little bit of a teal cast to the lower part of the rings. And the inner coloured reflections should be crisp and technical. 

The ring elements are smart objects that can be fully edited. 

I haven't been able to find a solution to this on my own or anywhere on the web so some advice would be very much appreciated! Thanks!