The paid date is based on the day that the gift was deposited in your bank account.
Venmo/PayPal and Credit Card gifts will line up on that two-day rolling window after the day they were made.
Bank Transfer gifts are contingent on the donor verifying microdeposits in their bank account.
The recommendation from GiveCampus is to pull for set date ranges at the cadence that you want. Because you're pulling on paid date (which is essentially deposited date), you shouldn't miss anything because if it gets deposited later, it'll show up in a later date range.