For more information on shooting weddings check out the full Fstoppers tutorial here:

Here is a list of equipment used to shoot the rings in the video:
Fstoppers FlashDisc :

Nikon AF-S FX Micro-NIKKOR 60mm f/2.8G ED Fixed Zoom Lens:

Canon EF 100mm f/2.8L IS USM Macro Lens:

Yongnuo Flash:

MagMod Basic Kit:

LED Panel: