Unfortunately we can't impact Google's search results--they usually update their data about every 2-3 weeks, but we can't provide an exact timeline. Once they've updated your data, your new content should appear in search more prominently.
In the meantime, we recommend doing the following:
1. Submit your site URL to Google here: https://support.google.com/webmasters/answer/6259634?hl=en. and here: https://www.google.com/webmasters/tools/submit-url?continue=/addurl&pli=1
2. Begin sharing your site URL on other websites/social media sites to get your site noticed by search engines