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The phrase baryonic matter is used in astrophysics (especially, cosmology) for ordinary matter. In particular, it excludes dark matter. The term is often used in discussions of dark matter as well as in statements regarding how much matter is in the observable universe or some portion of it (such as a particular galaxy cluster or galaxy).
The phrase baryonic matter suggests it is matter made up of baryons (protons and neutrons), which ignores electrons, but by mass, electrons' contribution is small, less then a tenth of a percent. Matter that is not baryonic (non-baryonic matter or nonbaryonic matter) includes neutrinos and other leptons. Also not baryonic matter are elementary (non-composite) bosons (such as photons), and black holes.
The phrase hadronic matter is also often used for ordinary matter: a baryon is a subclass of hadron, and presumably nearly all stable non-dark matter qualifies as both.