Shaykh-ul-Hadees ‘Allamah ‘Abdul Mustafa A’zami رَحْمَةُ اللهِ تَعَالٰی عَلَيْه has said: An accepted Hajj is a Hajj during which the Haji does not commit any sinful act, nor is there any doubt of showing-off nor fame, rather, [good deeds are performed] only for the pleasure of Allah عَزَّوَجَلَّ.

(Bihisht ki Kunjiyan, pp. 107, slightly modified)

(At another place, he رَحْمَةُ اللهِ تَعَالٰی عَلَيْه has stated that when setting out on the Hajj journey), whatever money or provision for journey one gets should be from Halal earnings, otherwise there is no hope of his Hajj being accepted, though his Fard (obligation) will be fulfilled. If one has some doubts about his wealth, he should rather borrow the money from someone and then go for Hajj and later on he should pay his loan back from his own wealth. He should take money and provisions more than his need so that he can help his fellow travellers and give Sadaqah (charity) to the poor people as this too is a sign of an accepted Hajj. (Jannati Zaywar, pp. 367, slightly modified)

A renowned commentator, a great thinker of the Ummah, Mufti Ahmad Yar Khan رَحْمَةُ اللهِ تَعَالٰی عَلَيْه has also mentioned some signs of an accepted Hajj in many places. He رَحْمَةُ اللهِ تَعَالٰی عَلَيْه said:

§  An accepted Hajj is that Hajj which is free from quarrels, sins and showing-off and is performed correctly. (Mirat-ul-Manajih, vol. 4, pp. 87)

§  An accepted Hajj is the Hajj that is performed after offering Salah etc.

(Mirat-ul-Manajih, vol. 4, pp. 146)

§  An accepted Hajj refers to a Hajj in which one abstains from sins or the Hajj in which one abstains from showing-off and fame or

§  It is a Hajj, after which, the Haji abstains from sins till his death and does not perform any act that ruins his Hajj.

§  Sayyiduna Hasan Basri رَحْمَةُ اللهِ تَعَالٰی عَلَيْه has said: An accepted Hajj is such a Hajj, after which, the Haji desires the Hereafter and not the world.

§  It is a Hajj that softens the heart of the Haji and he has sorrow in his heart and wetness in his eyes. (Mirat-ul-Manajih, vol. 5, pp. 441)