“It is not authentic.”
Ibn Ḥajar remarks in Takhrīj al-Hidāyah: “It has several routes, but all of their chains are feeble.” ʿAbd al-Ḥaqq likewise says, “It has no basis,” and the same verdict is given in al-Fayḍ.
Abū Yaʿlā also reports—through ʿAbdullāh ibn ʿUmar al-ʿUmari, from Nāfiʿ, from Ibn ʿUmar—that ʿUmar (Allah be pleased with him) “used to burn incense in the Mosque of the Messenger of Allah ﷺ every Friday.” Al-Haythamī comments (2/11): “The chain contains ʿAbdullāh ibn ʿUmar al-ʿUmari; Aḥmad and others considered him trustworthy, though scholars differ as to whether he may be relied upon.” Ibn Kathīr says: “Its isnād is good; there is no problem with it, and Allah knows best.”
I add: Ibn Abī Shaybah also recorded this report, as cited in al-Muntakhab (3/261).
Al-Mirqāt (1/459), after mentioning the ḥadīth of ʿĀʾishah, states: “Ibn Ḥajar said: From this we learn that perfuming the mosque with incense is recommended, contrary to Mālik, who deemed it disliked. ʿAbdullāh ibn ʿUmar used to perfume the mosque when ʿUmar (Allah be pleased with him) sat on the pulpit. Some of the early generations preferred saffron and other fragrances, and it is authentically related that the Prophet ﷺ himself did so. Al-Shaʿbī said: It is a sunnah. Ibn Abī Shaybah also reports that when Ibn al-Zubayr rebuilt the Kaʿbah he coated its walls with musk. Sweeping the mosque is likewise recommended.”