If the Edifier W820NB Plus will not connect despite being on and in pairing mode, a broken motherboard may be the issue. The motherboard is the component that controls most functions of the headphones including connecting to other devices. Make sure to try connecting to a few different devices before resorting to motherboard replacement.
This guide requires soldering. If you're unfamiliar with soldering, review the How to Solder and Desolder Connections guide and take appropriate precautions before beginning.
This guide will use the left driver as an example but the same steps can be mirrored when replacing or removing the right driver. The battery is under the left driver, while the motherboard and daughterboard are under the right driver.