Word meaning "to make more efficient"?

Solution 1:

I think that the word you're looking for here is optimize:

From Merriam-Webster: to make as perfect, effective, or functional as possible

Solution 2:

Streamline

  1. (transitive) To design and construct the contours of a vehicle etc. so as to offer the least resistance to its flow through a fluid.
  2. (transitive, by extension) To simplify or organize a process in order to increase its efficiency.
  3. (transitive) To modernise.