According to Google, that's exactly what you've got. You might try an application of grub killer drop spread over your lawn seedlings soon as they get more mature (when you can mow the lawn).

I could never see what it was, so I put out an application of grub killer and the borrowing seems to have stopped. Now I have to put out more grass seed, if I hav enough time before it gets cold.

We still have lots of warm,grass-sprouting weather ahead with a few cold snaps that shouldn't hurt the seedlings, just slow them down. Make sure you keep them moist.

Not moles but voles:

Here is a link that might be useful: Voles.com