Adi Shakti is Prakriti herself, so she dies. But she takes rebirths to unite with Shiva again and again.
So my questions are:
Will Adi Shakti be born again in the near future or has been born in past? If yes , then when ? What do we know about these incarnations?
As I discuss in my answer here there were and there will be several incarnations of Devi:
देव्युवाच॥४०॥
वैवस्वतेऽन्तरे प्राप्ते अष्टाविंशतिमे युगे।
शुम्भो निशुम्भश्चैवान्यावुत्पत्स्येते महासुरौ॥४१॥
नन्दगोपगृहे जाता यशोदागर्भसम्भवा।
ततस्तौ नाशयिष्यामि विन्ध्याचलनिवासिनी॥४२॥
Devi said, on the twenty-eighth age of Vaivasvata, Sumbha, and Nisumbha, shall be regenerated. I shall reside on the mountain of Vindhya, I shall be born in the race of cowherds in the womb of Yasoda, and destroy them.
And after it:
रक्षांसि भक्षयिष्यामि मुनीनां त्राणकारणात्।
तदा मां मुनयः सर्वे स्तोष्यन्त्यानम्रमूर्तयः॥५१॥
भीमा देवीति विख्यातं तन्मे नाम भविष्यति।
यदारुणाख्यस्त्रैलोक्ये महाबाधां करिष्यति॥५२॥
तदाहं भ्रामरं रूपं कृत्वाऽसंख्येयषट्पदम्।
त्रैलोक्यस्य हितार्थाय वधिष्यामि महासुरम्॥५३॥
भ्रामरीति च मां लोकास्तदा स्तोष्यन्ति सर्वतः।
इत्थं यदा यदा बाधा दानवोत्था भविष्यति॥५४॥
तदा तदावतीर्याहं करिष्याम्यरिसंक्षयम् ॥५५॥
I again shall assume a dreadful form on the mountain Himachala, and devour the giants to protect the sages: all the ascetics will bow and applaud me. I shall be called Bhima-Devi, when Aruna shall disturb the three world; then I shall turn a roving beettle. I will destroy the great giant for the advantage of these three worlds: all will applaud me by the name of Bhramari in the world. Whenever disturbances shall arise from the demonic forces, then I shall incarnate and destroy the enemies.
Source of above verses are Devi Mahatmya of Markandeya Purana.
