It is narrated from Sayyiduna Abu al-Darda (may Allah be pleased with him) that an increase in lifespan was mentioned in the presence of the Messenger of Allah (peace and blessings be upon him), and the Messenger of Allah (peace and blessings be upon him) said: "When a soul's appointed term comes, it is not delayed. Rather, the increase in lifespan is that Allah Almighty grants the servant righteous offspring, who then keep supplicating for him after him, and their supplication keeps reaching him in his grave; that is the increase in lifespan."
Hadith Referenceالمعجم الأوسط / باب الجيم / 3349
Hadith Gradingمحدثین:إسناده ضعيف لضعف سليمان بن عطاء
Hadith Takhrij«قال ابن حجر: سند ضعيف «فتح الباري شرح صحيح البخاري، ج 10، ص 430»» «قال الهيثمي: وفيه سليمان بن عطاء وهو ضعيف «مجمع الزوائد ومنبع الفوائد، ج 7، ص 196»» «أخرجه الطبراني فى «الأوسط» برقم: 34»