I have used E-Sword for several years. At about 12.04 I had to use winetricks to install several dll files to get the search function to work, and the greek modules to work (SBLGNT, WH+TVM,IGrNT+).
I recently installed Kubuntu 14.04 with wine 1.6. I used winecfg to load oleaut32.dll. I did not install any of the dll files that were recommended earlier. I installed E-Sword 10.3 by right clicking and using wine windows program loader.
I keep a backup of all my bible and commentary modules. I put them in ~/.wine/drive_c/Program Files (x86)/e-Sword.
E-Sword works great including the search function and those Greek modules.
Those dll files may be required for other functions in E-Sword that I do not use, but installing E-Sword has never been easier.
No doubt that this will work for all flavors of 14.04.
Your experience may vary.