I'm sorry to hear that your puppy bit through your earbuds.
Splicing your headphones back together is not something we would recommend doing. I would suggest reaching out to your local technical support team for assistance. Click the LINK HERE, select your country and scroll down to 'Contact Us'. One of our team will be more than happy to assist you.
Let us know if there is anything more we can do for you.
Feel more. Do more. Be more. New to the community? Check out the Getting Started board. Help others find answers to your questions by clicking on 'Accept as Solution' at the bottom of a reply. If you see a post you like, make sure to give it a thumbs up!