Hello,
Thank you for contacting Rank Math support and bringing your concern to our attention.
Yes, we do keep a log of the submitted posts/pages in our Instant Indexing. We call it “History” and you can check it here:

We provided responses so you will be informed if the submission is successful or if it has issues.
Hope that helps and please do not hesitate to let us know if you need our assistance with anything else.
Hello,
We are super happy that this resolved your issue. If you have any other questions in the future, know that we are here to help you.
If you don’t mind me asking, could you please leave us a review (if you haven’t already) on https://wordpress.org/support/plugin/seo-by-rank-math/reviews/#new-post about your overall experience with Rank Math? We appreciate your time and patience.
If you do have another question in the future, please feel free to create a new forum topic, and it will be our pleasure to assist you again.
Thank you.
Hi, sorry can this be re opened? The logs you provided are for indexnow, but do you have the same for the Google Indexing API>
Hello,
No, we do not keep logs of the URLs submitted via the Google Instant Indexing API.
Hope this helps clarify your doubts.
Hello,
Since we did not hear back from you for 15 days, we are assuming that you found the solution. We are closing this support ticket.
If you still need assistance or any other help, please feel free to open a new support ticket, and we will be more than happy to assist.
Thank you.