You seem somewhat confused about what the theory of evolution actually is. Here's a good primer. Nobody, other than a few confused theists, claim that evolution purports to be a theory of everything.
but does evolution explain how the universe began?
No. Nobody claims that it does. Evolution is about how life forms change gradually over the generations as a result of mutations, genetic drift and natural selection. What you want for origins of the universe is the science of cosmology.
does evolution explain how the stars were formed?
Nope. Nobody claims that it does. Cosmology's your favourite for this one. Seriously, read up on it - it's a fascinating subject. Did you know that the hiss you hear on a detuned radio is residual energy from the big bang? Isn't that amazing?
does evolution explain how chemistry was generated?
I'm not sure I understand the question. If you're asking where chemicals come from, that's cosmology and nuclear physics. If you're asking how chemical reactions occur and how certain chemicals can combine to form molecules, then that's chemistry. Either way, nobody claims that evolution explains all that.
does evolution explain how life began on earth?
Nope. Nobody claims that it does. You want abiogenesis for that.
Hope this helps!