Supplication for the people at large: how is it made?

Sa'd bin Ibrahim said that Talq bin Habib used to say: O Allah, decree firmly for this Ummah a righteous matter, in which You honour Your friend and humiliate Your enemy, and in which action is taken in obedience to You alone.

Ubayd bin Abd al-Malik said: I was told by a person who saw Umar bin Abd al-Aziz standing at Arafat making this supplication. He was saying this while also pointing with his finger: O Allah, increase the goodness of those who do good among the Ummah of Muhammad (peace and blessings be upon him), and turn those of them who sin toward repentance. Then he supplicated in this manner, and also rotated his finger: And encompass them from behind with Your mercy.

Ubayd bin Abd al-Malik said that Umar bin Abd al-Aziz used to supplicate thus: O Allah, reform the person whose being set right is better for the Ummah of Muhammad (peace and blessings be upon him). O Allah, and destroy the person whose destruction is better for the Ummah of Muhammad (peace and blessings be upon him).