Hi Ulkesh,
You will have to enable some sort of Analytics on your website where you will be capture cart abandonment.
Campaign allows to make use of web tracking module from Adobe Campaign.
Then the tracking and website tracking details will be recorded in trakcingLogRcP schema which you can later query in a workflow to fetch the target recipients.
Now you will have to check who all clicked on your link in email, then out of these who clicked on the buy link and finally compare them with the invoices table to see if the purchase was made or not.
The purchase information will have to imported somehow into the campaign database for you to reconcile finally.
Hope this helps.
Regards,
Vipul