"became due" is a correct and usable phrase in written English.
You can use it when referring to something that has come due or is due. For example, "The payment became due on the first of the month."
Several promissory notes to vendors also became due immediately.
The payments immediately stopped and the mortgage became due and payable.
The pressure on retailers grew still more intense last Friday, when quarterly rents for commercial property became due.
The current spate of closures is linked to last week's "quarter day", when shop rents became due.
It could be that you returned an item to a book return bin right before it became due.
After the couple died, inheritance taxes became due and their children decided to sell the pictures that had adorned the childhood home.
Typically the later in the day it is, the more flexible people become due to fatigue.
It would best to submit the payment once it becomes due every month.
The annual fees will become due and payable to the NRC as indicated in § 171.19.
When the invoice becomes due, the investor is paid the full amount.
"This should become clearer over the next few years as loans start to become due".
