The invention relates to the alfalfa variety designated RRL43M114. Provided bytheinvention are the seeds, plants and derivatives of the alfalfa varietyRRL43M114. Alsoprovided by the invention are tissue cultures of the alfalfa variety RRL43M114and the plantsregenerated therefrom. Still further provided by the invention are methods forproducingalfalfa plants by crossing the alfalfa variety RRL43M114 with itself oranother alfalfa varietyand plants produced by such methods.