The We the People petition platform has been operating for the Obama Administration since 2011. Several million people have submitted signatures on petitions that have received over 200 responses.
The people administering the site are looking to make some technical changes. The Office of Digital Strategy is seeking input on possible changes to how the site looks, processes signatures, or any other aspect of how the site runs. While it is not explicitly stated, I do not believe that different petition thresholds (how many signatures are needed for a response, etc.) are on the table.
If you’re interested in commenting on the website, you will want to look at both the website and the GitHub page for We the People, which hosts the site code and discussions over bugs and possible improvements. More technical suggestions are likely best sent to GitHub, while general comments can be submitted on the same page as the announcement. No end date for the comments has been mentioned, but I would recommend submitting any comments within the next 30-45 days, as that seems to be the comment window of choice for the Obama Administration.