Is there any problem if the last name prints first then the first name in international air ticket?
If you mean "Ms Jane Doe" getting reversed into "DOE/JANEMS" like the boarding pass below, that's completely normal:
(courtesy Heb on Wikimedia Commons)
As a Brit I use my married name, but on the Continent they address me by my maiden name or both names. So I got a passport with both names. My credit card has both names, but in a different order! So I often end up with tickets that have my names in a different order to my passport. This is never an issue, as I think airlines and security have to be aware that conventions vary so same names, different order has to be accepted.