All perfect praise be to Allah, The Lord of the Worlds. I testify that there is none worthy of worship except Allah, and that Muhammad is His slave and Messenger.
We are not aware of any Chapters or verses of the Quran that are considered as part of the fixed morning Athkaar that are confirmed from the Prophet other than what you have already mentioned in the question. We ask Allah to help us in observing the morning and evening Athkaar and other mention of Allah.
Allah Says (what means): {Indeed, the Muslim men and Muslim women, the believing men and believing women, the obedient men and obedient women, the truthful men and truthful women, the patient men and patient women, the humble men and humble women, the charitable men and charitable women, the fasting men and fasting women, the men who guard their private parts and the women who do so, and the men who remember Allah often and the women who do so - for them Allah has prepared forgiveness and a great reward.} [Quran 33:35]
We encourage you to take advantage of the books of Athkaar that listed and selected the authentic Athkaar such as Hisn al-Muslim (the Fortress of the Muslim) and other useful books.
Allah knows best.