Is the Celestron astromaster 130 EQ Model able to see nebulas and galaxies?
The question isn't whether you can see deep-sky objects but how many.
Given a reasonably dark observing site, the Orion nebula and the Andromeda galaxy are visible in 7x50 binoculars.
A 130mm objective should be enough to see most of the nebulae and galaxies in the Messier catalogue.
Once you get the hang of it, you may be able to see a few NGC objects too, but a bigger scope will show more of them.