In what way does Monzo “not recognise it”? What specifically is the problem you are encountering?
Edit: I’ve just gone through the process to set up a new payee. So, Payments tab (bottom of screen), Pay (first item in payments tab), Pay by bank transfer (first item again), and you have to provide details of the recipient account. So, is the problem that you are putting you as the recipient, but the account is in the name of John Lewis Payments Limited (or whatever it is), and that’s the error you’re getting, or something else?
Edit 2: According to https://www.johnlewisfinance.com/partnership-card/faqs.html, I think the recipient needs to be John Lewis Financial Services Limited