How to respond to a rejected job application email? Or do you think there is no need to reply?

I will just acknowledge receipt of the message with thanks.

Best wishes . 

I was looking forward to becoming part of your team and thank you for the opportunity to discuss my previous skills and experiences during the interview.I wish you more prosperity and cooperation

there is no need to reply. but if you want to reply you can ask reason for reject you. it's help you for your next interview. and if they give you reason of your rejection you must say thank you to them 

I believe that It is better to don’t reply.