In making recommendation to the Legislature respecting the amount of financial assistance to be given by the State, as provided for in Sections 12616 to 12623, inclusive, and Section 12626, the department shall recommend the total estimated amount which should be paid by the State for lands, easements and rights of way necessary in connection with the construction of any such project, and what proportion, if any, of the cost of the project should be paid by the county, city, state agency, or public district.