Can you please provide some references from Quran and/or Hadith on the
obligatory requirement of consuming meat that is from an animal
that has been slaughtered in the name of Allah and in accordance with Shariah?
If your question is whether it is an obligation to eat meat or not then the answer is that it is not obligatory to consume meat.Rather eating meat is a Mubah act and binding. If someone wants to eat meat then they must eat only Halal. The conditions of Halal slaughter are proven from Qur'an and Sunnah together. Some conditions are proven directly from Qur'an and others are from the Sunnah of the Holy Prophet Sallallahu Alaihe Wa Sallam.
If your question is otherwise then kindly rewrite your question clearly.
And Allah knows best.
Mufti Ikram ul Haq
Fatwa Center of America