Does the repentance of one who has committed sodomy, drunk alcohol, and engaged in illicit sexual acts (zina) and fathered two children out of wedlock, knowing that he prays and frequently seeks forgiveness, get accepted? And does he fall under the warning: "Allah will not look at them on the Day of Resurrection, nor will He purify them"?

Your repentance is accepted for all sins, no matter how great, if you turn to Almighty Allah with sincerity and devotion, and all the conditions of repentance are met. Almighty Allah says: ﴿Say, "O My servants who have transgressed against themselves [by sinning], do not despair of the mercy of Allah. Indeed, Allah forgives all sins. Indeed, it is He who is the Forgiving, the Merciful."﴾ The Prophet, peace and blessings be upon him, said: "Indeed, Allah extends His hand at night to accept the repentance of the sinner of the day, and He extends His hand by day to accept the repentance of the sinner of the night, until the sun rises from its west." The conditions of repentance are: abstaining from the sin, regretting what has passed, and resolving not to return to it.