In any and all districts located in counties having a county engineer, the county engineer shall have full control and supervision of the engineering work connected with improvements and repairs undertaken and carried on under the provisions of this act, and it is hereby made the duty of such county engineer to take charge of such works and improvements, and to make plans, supervise the work and expenditures without any further compensation than now provided by law. In the performance of his duties the county engineer shall have charge of the engineering department of any drainage board while carrying out work and improvements under the provisions of this act, and it shall be the duty of the drainage board and its engineering department and other employees of such board to comply with the directions and requirements of the county engineer without any extra compensation; and any and all costs and expenditures made necessary by the county engineer in carrying on the work shall be borne by the drainage district.