You would need more than just an ongoing website to get Google Adsense. I guess the points below will help you getting Adsense account in much less time (but there is no promise in that).
- The main player is content, prepare your content to be so good that it stands out in Google
- No copied content
- Regular content input
- White hat seo and no spamming
- Have a responsive website
- Be sure to have five major pages on your website
- Contact Us
- About Us
- Terms of Service
When you are done with all of these then try for Google Adsense again. But your application has just been rejected, so people say not to apply before 6 months. But if you go by above points you can apply just after a month. I hope this help.