Musa said: And ʿAbd al-Wārith narrated to us something similar, and ʿAbd al-Wārith used to say: "khariba" (it fell into ruin). And ʿAbd al-Wārith claimed that he had imparted this ḥadīth to Ḥammād.

13 - Chapter: On the establishment of mosques in the dwellings (al-dūr)

455 - Muḥammad ibn al-ʿAlāʾ narrated to us, Ḥusayn ibn ʿAlī narrated to us, from Zāʾidah, from Hishām ibn ʿUrwah, from his father, from ʿĀʾishah, who said: The Messenger of Allah, peace and blessings be upon him, commanded the building of mosques in the dwellings (al-dūr), and that they be cleaned and perfumed.

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(1) Its chain of transmission is sound. Ḥusayn ibn ʿAlī: he is al-Juʿfī, and Zāʾidah: he is Ibn Qudāmah.
It was also recorded by al-Tirmidhī (600), and Ibn Mājah (758) and (759) via multiple chains from Hishām ibn ʿUrwah, with this chain of transmission.
It is also in "Musnad Aḥmad" (26386), and "Ṣaḥīḥ Ibn Ḥibbān" (1634).
It was also recorded by al-Tirmidhī (601) and (602) via multiple chains from Hishām ibn ʿUrwah, from his father: that the Messenger of Allah, peace and blessings be upon him... and he mentioned it as mursal (with the Companion omitted from the chain).
And see the ḥadīth that follows this one in Abū Dāwūd.
His statement: "the building of mosques in the dwellings (al-dūr)." Al-Baghawī said in "Sharḥ al-Sunnah" 2/397: He means the districts (al-miḥāl) in which the dwellings are located. And from this is the saying of Allah the Exalted: {I will show you the abode (dār) of the wicked} [al-Aʿrāf: 145], because they used to call the district in which a tribe gathered a "dār" (abode). And from this is the ḥadīth: "No dwelling (dār) remained except that a mosque was built in it."
And ʿAlī al-Qārī said in "al-Mirqāh": al-dūr is the plural of dār, and it is a comprehensive term for the building, the courtyard, and the district. What is meant is the districts, for they used to call the district in which a tribe gathered a "dār." Or it may be interpreted as establishing a room in the house for prayer, like a mosque in which the people of the household pray — this was said by Ibn al-Malik. And the first interpretation is the one relied upon, and upon it is the practice.
And the wisdom behind his command to the people of every district to build a mosque in it is that it may be difficult or burdensome for the people of one district to go to another, and so they would be deprived of the reward of the mosque and the virtue of performing congregational prayer in it. So they were commanded to do this so that it might be made easy for the people of every district to worship in their own mosque without hardship befalling them.