In general, training and education will improve productivity because they will make workers better able to do their jobs.
With training, the connection is clear. A worker who has been trained on the proper use of a machine, for example, will use it well and will work quickly. This will increase productivity.
With education, the connection might be less clear because school does not typically teach a person how to do a specific job. However, more educated people are generally better able to think and will therefore bring a more thinking approach to their job. They might understand their job rather than simply doing what they are told. This allows them to work more efficiently and productively.