your question is on theistic evolution and creationism.
well the answer to your question is ---
1-No religion had any idea about evolution and big bang .those are recent theories compared to the origin of religion.
2-Every religion supports the big bang and evolution....you know what even wiccan religion supports it...they call it wiccan creationism.Depending on the scientific discoveries or inventions people interpreted their religions in such a way that it suits the modern scientific theories.
-->real credit goes to lemaitre,Hubble, Einstein and wallace,Darwin for bigbang and evolution theories respectively.Great people.
Theistic evolution and Evolutionary creationism::
Theistic evolution and evolutionary creationism are similar concepts that assert that classical religious teachings about God are compatible with the modern scientific understanding about biological evolution. In short, theistic evolutionists believe that there is a God, that God is the creator of the material universe and (by consequence) all life within, and that biological evolution is simply a natural process within that creation. Evolution, according to this view, is simply a tool that God employed to develop human life.
there are many religious interpretations ....christian darwinism,islamic creationism,etc.
http://en.wikipedia.org/wiki/Theistic_evolution
Hinduism --:
As maitree wrote...to some extent the 'Dashavatara' resembles the evolution .
http://en.wikipedia.org/wiki/Hindu_views_on_evolution
And about big bang....i don't think it is complete .in addition to 'AUM' we should add purushasuktha from rig veda.The purushashukta fits perfectly to solar system (related big bang) and 'AUM' is universe,big bang.
Om sahasra shirsha purushaha
sahasrakshaha sahasrapat
sa bhumim vishvato vritva
atyatishthad dhashangulam
The Purusha (the Supreme Being) has a thousand heads, a thousand eyes and a thousand feet. He has enveloped this world from all sides and has (even) transcended it by ten angulas or inches.
nabhya asid antariksham shirshno dyauh samavarthata
padbhyam bhumir dishah shrotrattatha lokan akalpayan
“Space is navel, heavenly bodies (galaxies and constellations) head, feet the land, directions give ears, manifests in the form of worlds”
yatpurusheNa havisha
devaa yajnam atanvata
vasanto asyasidajyam
grishma idhmash sharaddhavihi
When the devas (the demigods or beings of light) performed a yajna (or sacrificial ritual), using the Purusha as the havis (sacrificial material) for the yajna (ritual), the Vasanta (spring) became the ajya (ghee), the Grishma (summer) served as idhma (pieces of wood) and the sharad (autumn) filled the place of havis (oblatory material like the purodasha or rice-cake).
chandrama manaso jatash chakshoh suryo ajayata
mukhad indrashchagnishcha pranad vayur ajayata
From His mind was born the moon. From His two eyes was born the sun. From His mouth were born Indra and Agni. From His breath was born the air.
other interpretation--Expressings-- (face denotes expression) as indra (thunder) and agni (fire), breathing life through the atmosphere is the nature of this Creation.”
saptasyasan paridhayastrih sapta samidhah krtah
deva yadyajnam tanvana abadhnun purusham pashum
Like a female (one who bears children) with seven holes, this yajna has seven black holes, which are the fuel/fire (samitha) for this yajna, which keeps spinning out fast (with) unbound purusha as the sacrifice.
---earth--from two feet,sun-- from eye
http://www.ramanuja.org/purusha/sukta-intro.html
http://en.wikipedia.org/wiki/Purusha_sukta
***interpretations of all religions (BIG BANG) --:
http://en.wikipedia.org/wiki/Religious_interpretations_of_the_Big_Bang_theory#Hindu_view
Jewish views --
http://www.jewishvirtuallibrary.org/jsource/Judaism/jewsevolution.html
Islam --:
There are several verses in the Qur'an which some modern writers have interpreted as being compatible with the expansion of the universe, Big Bang and Big Crunch theories:
"Do not the Unbelievers see that the skies (space) and the earth were joined together, then We clove them asunder and We created every living thing out of the water. Will they not then believe?"[Qur'an 21:30]
"Then turned He to the sky (space) when it was smoke, and said unto it and unto the earth: Come both of you, willingly or loth. They said: We come, obedient."[Qur'an 41:11]
"And it is We Who have constructed the sky (space) with might, and it is We Who are steadily expanding it."[Qur'an 51:47]
"On the day when We will roll up the sky (space) like the rolling up of the scroll for writings, as We originated the first creation, (so) We shall reproduce it; a promise (binding on Us); surely We will bring it about."[Qur'an 21:104]
" Between plants and animals there is sponge, and, between animals and humans there is monkey."
—İbrahim Hakkı of Erzurum , Marifetname
http://www.submission.org/universe.html
http://en.wikipedia.org/wiki/Islamic_creationism
(*these interpretations were made by modern muslims,intellects...not religious imams and ulemas)
Christianity--:
Evolution Christianity--If the evolutionary account of human origins is true, then there was certainly no literal Fall from Grace — no Adam and Eve disobeying the Christian God and no Original Sin. But without Original Sin and expulsion from the Garden of Eden, then there is no reason to think that anything called "sin" (which is supposed to be disobedience to God) suddenly entered the world. If sin instead "evolved" into our ancestors through the natural development which God set into motion, why would God hold us accountable? A naturalistic development of sin should mean that insofar as we are "naturally" sinners, we simply are what our creator caused us to evolve into being.
christian big bang theory--
http://www.christiananswers.net/q-eden/big-bang.html
like this all religions supports scientific theories .....of course a section of conservatives in all religions deny scientific theories...