If my client paid a vendor invoice directly that is invoiced to my business, how do I record that transaction so that my client has an invoice in their name?

Hi there,

Welcome to the Community. Making sure you're recording your transactions the right way is a good exercise for preventing errors in your books. 

I recommend contacting an accounting professional to get more info on this. If you're not in contact with one, I encourage you to search for one on our website using this link here. Doing this will help prevent any future discrepancies. Let me know if you have other questions. I'm here to help.