I think cook is an action verb while breakfast is not, so you have to put an action verb make.

Example: I do my homework I make all my own clothes.

The primary meaning of 'to make' is 'to create, to produce.' The primary meaning of 'to do' is 'to perform, to execute.' "My wife does (performs) most of the cooking in our house, but I make (create) breakfast for her on Sundays." I know the distinction is hard for native speakers of Spanish and Portuguese to master. And unfortunately, there are many, many exceptions to the normal usage. It's our way of getting even for 'estar' and 'ser.' : )