Yes.
An enzyme is a protein and has many carbon hydrogen bonds, so it is an organic molecule.
Cofactor or coenzyme if organic
Nonproein organic molecule that aids the action of the enzyme to which it is loosely bound.
coenzyme
Cellulase is an enzyme that break down celluse a complex organic molecule into simpler molecule like glucose and as such being an enzyme, it is also protein in nature.
coenzymes
Lactose is a carbohydrate and is an organic compound.
an enzyme. although i dont know if an enzyme is an organic molecule
The type of molecule that is an enzyme is a protein molecule.
the type of organic molecule an enzyme is would be a protien
There are too many possibilities to list.The general term for such a molecule is an enzyme.
A non-protein helper of an enzyme molecule is called a cofactor. Cofactors can be either inorganic ions (like metal ions) or organic molecules (like coenzymes) that assist enzymes in catalyzing chemical reactions.