Apology Letter For Misunderstanding

Dear [Recipient Name],

Please accept my apology for the misunderstanding with regards to [the wrong shipment]. I acknowledge that this error has resulted due to miscommunication from my end and I'm sorry for the trouble I may have caused you.

As a token of my regret, I am going to [here goes your compensation or solution to the problem].

Again, I'm sorry for this terrible misunderstanding, which I'm sure won't happen again.

Best Regards