After you file

Yes, he can file the gift tax return late and should file it.

If he uses up some of the unified credit the tax on the gift tax return will be $0.

There would be no penalty due to no tax.

You might want to seek a professional to file the gift tax return and make sure a copy is kept of it.

If your filing is more than 60 days late (including an extension), you'll face a minimum additional tax of at least $205 or 100 percent of the tax due, whichever is less. Failure to pay the gift tax on time will result in a penalty of 0.5 percent month of the amount due, up to a total of 25 percent. ---Which would be $0 with no tax due.