This tradition has been reported by 'Umar b. al-Khattab through a different chain of narrators. He narrated it to the same effect and that is more correct.
Sunan Abi Dawud Book 2, Hadith 73
← Previous Hadith If we left this door for women (it would have been better). Nafi' said: Ibn 'Umar did not enter (the door) until his death. The other except 'Abd al-Warith said: This was said by 'Umar (and not by Ibn 'Umar) and that is more correct.

Sunan Abi Dawud Book 2, Hadith 72 Next Hadith → ‘Umar b. al-Khattab used to prohibit (men) to enter through the door reserved for women.

Sunan Abi Dawud Book 2, Hadith 74