To what extent is the aforementioned Hadith, concerning the virtue of mosques and those who frequent them, authentic?

The aforementioned hadith is partially authentic: "Give glad tidings to those who walk to the mosques in darkness of perfect light on the Day of Resurrection." It was narrated by Al-Tirmidhi and Abu Dawud, and authenticated by Al-Albani. As for the beginning of the hadith: "Masjids are the houses of Allah on Earth, they shine for the inhabitants of the heavens as the stars of the heavens shine for the inhabitants of the Earth," it was narrated by Al-Tabarani from Ibn Abbas, and Al-Haythami said concerning its narrators: "They are trustworthy."