How did Buddha Explain the Creation Of the World? I have heard that Buddha explained how the world is recreated after a destruction, in Aggan̄n̄a Sutta.


  One tale told by the Buddha in the Aggan̄n̄a Sutta describes the process of recreation on this grand scale. An old world-system has just been destroyed, and its inhabitants are reborn in a new system. To begin with they are spirits, floating happily above the earth, luminescent and without form, name or sex.
  The world in these early stages is without light or land, only water. Eventually earth appears and the spirits come to taste and enjoy it. Their greed causes their ethereal bodies to become solid and coarse and differentiate into male and female, good-looking and ugly. As they lose their luminescence the sun and moon come into being.Gradually the beings fall into further wicked habits, causing themselves - and the earth itself - to become less pleasant.
  Source- BBC


However, the modern science describes the creation of the world in a different way. According to scientists, the first life on earth started in water. Later these water animals came to land and evolved to the types of animals that we see today. It is said that the humans evolved from monkeys. It's evident that Dinosaurs lived on earth before humans.

Which explanation is true? Buddha's or Scientists'? Did Buddha lie When explaining the creation of the world because the people at that time didn't understand these scientific facts?

Very sorry for my bad English.
Which explanation is true? Buddha's or Scientists'? Did Buddha lie When explaining the creation of the world...
  


No enlightened being lies for any purpose. Scientific knowledge is based on hypothesis. The Dhamma is what the Buddha understood through direct knowledge.


  
  It is said that the humans evolved from monkeys. It's evident that
  Dinosaurs lived on earth before humans.
  


In Buddhism, humans are not identified as animals. They devolved from self-luminous gods(brahmas). Not monkeys! Agganna sutta is about how human beings came to dwell on Earth. It doesn't mention about the origin of the animals.

In any case, dinosaur bones being older than human bones doesn't prove that humans came later. 


  " they dwell, mind-made, feeding on delight, self-luminous, moving
  through the air, glorious — and they stay like that for a very long
  time." -Agganna Sutta


A being with such a form cannot be expected to leave any bones behind when they die. It's only much much later their bodies started to harden. 

According to Science, dinosaurs lived between 230 and 65 million years ago. Land plants had evolved on Earth by about 700 million years ago and land fungi by about 1,300 million years ago. According to Agganna sutta, the earth didn't even have trees when the first humans came. 

We were here even before the first mushrooms(fungi) appeared on earth:


  Then, mushroom-like plants began to grow so fast that they replaced
  the mud-like ocean. The creatures began to devour them as well, and
  they also found it delicious, like sweet honey and milk. Their body
  hardened more and details began to turn finer. -Agganna Sutta