Fortran Wiki
Lua

Discussion of Fortran and Lua in Programming in Modern Fortran tutorial

IREP - tool for filling C/C++ or Fortran data structures from Lua input tables

fortran-lua53 - collection of ISO C binding interfaces to Lua 5.3 for Fortran 2003 and to call Lua from Fortran and vice versa, by interkosmos and zoziha

Aotus: Advanced Options and Tables in Universal Scripting - Fortran wrapper around the C-API of Lua, for usage as configuration

FortLua - simple set of Lua bindings for use in Fortran, tested to be compatible with Lua 5.2.3+, by Drew Dolgert