The same statement is also narrated from Hazrat Tawus himself.

Hazrat Aisha (may Allah be pleased with her) narrates that once during the time of the Holy Prophet (peace and blessings be upon him), there was a solar eclipse. He immediately engaged in prayer and continued to pray until the sun became bright again. When the sun became bright, he praised and glorified Allah and said, "The sun and the moon are among the signs of Allah; they do not eclipse because of anyone's death or life. These are the signs of Allah. When you see them eclipsed, perform prayer and give charity."

It is also narrated with similar meaning but different wording through another chain of transmission.

Hazrat Jabir narrates that during the time of the Holy Prophet (peace and blessings be upon him), when his son Ibrahim passed away, the sun was eclipsed. People said that the sun was eclipsed because of Ibrahim’s death. Upon this, the Holy Prophet (peace and blessings be upon him) led the people in prayer with six bowings (ruku) and four prostrations (sajdah). First, he said the takbeer, then recited (Qur’an) and made a long recitation, then bowed for a duration equal to the standing. Then he raised his head from ruku, then recited less than the first recitation, then bowed for a duration equal to the standing. Then he raised his head from ruku and recited less than the second recitation, then bowed for a duration equal to that standing. Then he raised his head from ruku and bent down for prostration and performed two prostrations. Then he stood up and performed three bowings, each preceding ruku being longer than the following one. And his bowings were equal in length to his prostrations. Then he moved back and the people standing in rows behind him also moved back, until they reached the women. Then he moved forward and the people moved forward with him until he stood at his place. Then, when the sun became bright again, he completed the prayer and then said: O people! The sun and the moon are signs of Allah; they are not eclipsed because of anyone’s death. When you see them eclipsed, pray until they become bright again.

Hazrat Saib bin Malik narrates that the Noble Prophet (peace and blessings be upon him) offered two rak‘ahs on the occasion of a solar eclipse.

Hasan narrates that Hazrat Ali (may Allah be pleased with him) performed the eclipse prayer with ten bowings (ruku) and four prostrations (sajdah).

Hazrat Tawus narrates that during the time of Hazrat Ibn Abbas (may Allah be pleased with them), there was a solar eclipse. Hazrat Ibn Abbas (may Allah be pleased with them) led two rak'ahs of prayer near Zamzam and performed four prostrations in each rak'ah.

Hazrat Abu Bakrah narrates that during the time of the Holy Prophet (peace and blessings be upon him), when the sun or the moon was eclipsed, he said: The sun and the moon are signs of Allah; they are not eclipsed because of anyone’s death. When you see them eclipsed, perform prayer until they become bright again.

Ibrahim says that the elders used to say that when there is a solar eclipse, pray until it becomes bright again.

Hazrat Asma states that once during the time of the Holy Prophet (peace and blessings be upon him), there was a solar eclipse, so he performed such a long prayer that I became unconscious. He completed the prayer after the sun became bright again.