AUTHOR OF RAMAYAN:
The sanskrit Ramayan is written by Maharishi Valmiki.He had divided it into two parts: Ramayan and Uttar Ramayan another part of it.
Once,Narada muni came to his ashram and asked him to write the whole story of lord Ram in metrical way.
Next time,lord Brahama came to him and told him that he can write the story of goddess Sita before the event will happen.And when Sita left the palace,and came to the forest,she met rishi Valmiki there.Then onwards she had taken shelter in his ashram.And then born two twin children to Sita, named Luva and Kush. Rishi Valmiki was also known as the guruji or teacher of Luva-Kush who trained them as warriors.
Later, Goswami Tulsidas had written the same story of Ramayan in Awadhi,but the difference was that,he feel so bad by the last part of it ,uttar kand, as it was not a happy ending. So,He wrote the whole story but ends it at the Rajya abhishek of Ram after van gaman.Later the Ramayan was written in many languages:in Telugu,Kannada,Marathi, etc...and we got a chance of reading it in our own languages.

AUTHOR OF THE LEGENDARY BHAGWAT GITA:
The Shrimad Bhagwat Gita is narrated by Lord Shri Krishna, about the truths related to life. It consists of 18 chapters and 700 verses, which contain answers to questions related to life like karma, dharma, karma, birth, death, truth, untruth etc.
God says that I first gave this knowledge to Lord Surya. After the Sun, the Guru proceeded by tradition. But now it is endangered. Now I am going to tell you the same knowledge. Arjun says that you were born recently, so how did you say this to Surya? Then Shri Bhagavan has said that you and I have had many births, but you do not remember,I remember that births...
Then, he narrates this verse to make Arjuna aware of his truth ... If you have read the fourth chapter of Bhagavad Gita, you must remember this, which is one of the main verses of the
"यदा यदा हि धर्मस्य ग्लानिर्भवति भारत।
अभ्युत्थानमधर्मस्य तदात्मानं सृजाम्यहम्

„“

परित्राणाय साधूनां विनाशाय च दुष्कृताम् ।
धर्मसंस्थापनार्थाय सम्भवामि युगे युगे..."

Shri Krishna says that when there is loss of religion and increase of unrighteousness, then I create my form. To protect the sadhus, to destroy the evil-doers, to establish religion, I incarnate as a human in the ages.
Shri Krishna narrates the Gita verses to Arjuna at a time when Arjuna refuses to fight during the war of Mahabharata, then Shri Krishna narrates the Geeta verses to Arjuna and reveals the true knowledge of Karma and Dharma. These teachings of Shri Krishna have been compiled in a book called "Bhagavad Gita" that was probably written by Maharishi Ved Vyas.

Thanks....
I hope this will help you...!!

Ramayana:
The Ramayana is an ancient Hindu epic that is believed to have been written by the sage Valmiki. It is one of the two major Sanskrit epics of ancient Indian literature, the other being the Mahabharata. The Ramayana is considered as the story of Lord Rama, the seventh avatar of Lord Vishnu. It consists of about 24,000 verses and is divided into seven books or Kandas.

Author:
The author of the Ramayana is traditionally attributed to Valmiki, who is revered as the Adi Kavi or the first poet in Sanskrit literature. Valmiki is believed to have lived during the Treta Yuga, which is considered the second of the four Yugas or ages in Hindu cosmology. He is highly revered as a sage and is considered the original author of the Ramayana.

Valmiki:
Valmiki was a sage and poet who is revered as the author of the Ramayana. He is believed to have lived in ancient India during the Treta Yuga. Valmiki is considered as one of the most important figures in Hindu mythology and literature. He is also known as Maharishi Valmiki and is regarded as the Adi Kavi or the first poet in Sanskrit literature.

Significance of Ramayana:
The Ramayana is not just a story but also a spiritual and moral guide for Hindus. It portrays the ideals of righteousness, devotion, loyalty, and the triumph of good over evil. It teaches important life lessons and provides guidance on how to lead a righteous life. The characters in the Ramayana, such as Lord Rama, Sita, Lakshmana, and Hanuman, are revered as divine figures and serve as role models for Hindus.

Gita:
The Bhagavad Gita, often referred to as the Gita, is a 700-verse Hindu scripture that is part of the Indian epic Mahabharata. It is written in the form of a dialogue between Prince Arjuna and the god Krishna, who serves as his charioteer. The Gita is considered a philosophical and spiritual guide, addressing the concepts of duty, righteousness, and the nature of the self.

Author:
The authorship of the Bhagavad Gita is attributed to the sage Vyasa, who is also considered the author of the Mahabharata. Vyasa is a revered figure in Hindu mythology and is believed to have compiled and composed the Mahabharata, including the Bhagavad Gita, during the Dwapara Yuga.

Vyasa:
Vyasa, also known as Ved Vyasa, is a legendary sage who is revered as one of the most important figures in Hindu mythology. He is believed to have lived during the Dwapara Yuga, which is considered the third of the four Yugas or ages in Hindu cosmology. Vyasa is regarded as the author of the Mahabharata, which includes the Bhagavad Gita. He is also considered the compiler of the Vedas, the ancient sacred texts of Hinduism.

Significance of Gita:
The Bhagavad Gita is highly regarded as a spiritual and philosophical guide in Hinduism. It addresses important concepts such as duty, righteousness, and the