The scientific cosmology states that that the Big Bang created everything including the sun and planets. There is plenty of evidence such as the Red Shift effect which confirms that the Big Bang must have happened at least ten billion years ago and not the 6 days as said in the Bible. This can clearly be seen as contradicting each other.
The Big Bang can also be seen as contradicting the traditional Islamic cosmology. The followers of the traditional view will believe that God created everything six days whilst the scientific cosmology says everything was created over 15 billion years. However scientist can counter this with the Apparent Age theory. This claimed that if you accept the traditional and literal view, then when Adam was made, the Earth was six days old but would have appeared billions of years older to his eyes.
Another contradiction is that the religious cosmology states that humans were created on the sixth day but the scientific cosmology will say that it took a certain amount of time for humans to evolve from animals.
There are also no statements in either holy book about the creation of dinosaurs. The bible states that God created the beasts but scientists are unsure whether they can be classed under this category; however the bones of the found dinosaurs are said to be millions of years old. So this is another contradiction.
Scientists also say that matter cannot be created nor can it be destroyed. This goes against the religious cosmology that says God created everything. However in this case, the scientific cosmology uses facts and a few opinions whilst the religious cosmologies come from the holy book, which is a belief.
However in a particular religion, there are different attitudes towards the scientific cosmology. Creationists/Literalists will say that the scientific cosmology is completely wrong and that the bible is correct. Literalists believe that the bible is the exact word of God and every bit is true.
The traditional viewers of the Islamic cosmology will not agree with the scientific cosmology as most of it contradicts the Qur’an and whatever goes against the word of God is wrong and therefore a sin to believe in it. The modern views will be more agreeable to it as they believe it is referred to in the Qur’an.