"I was thinking we can book the depreciation in the following year. but does this cause any issues with the tax return?"

Well, you want everything to be accurate. You told us the returns had no depreciation; was there supposed to be some on them?

You can catch up the bookkeeping any time, but the entries should be dated for when they apply, of course. And if they then affect something else you used for the tax return, then the sequence of your work would be reviewed, to see if it was done out of order.