Muhammad reported on the authority of some of his teachers that Ubayy bin Kab led them in prayer during Ramadan. He used to recite the supplication (in the with) during the second half of Ramadan.
USC-MSA web (English) Reference: Book 8 , Number 1423
قال الشيخ الألباني: ضعيف
قال الشيخ زبير على زئي: ضعيف إسناده ضعيف ”بعض أصحابه“ مجهول انوار الصحيفه، صفحه نمبر 57