Embird outlines (.eof) can probably be only processed by the default software and in no other, so your best bet for eof to jef conversion (Embird to Janome format), would be use Embird and use the default save as.. or export function to perform this conversion.
Convert Embird Outline Format to Janome embroidery layout.
We found one software available in the database for this conversion.
Microsoft Windows software - convert eof to jef on Windows
A popular embroidery design and printing software
Convert from eof file format
The table with program actions contains information about what each program is capable of doing with their files. This may be a good pointer for further searches for certain file conversions and help you find the converter you are looking for if our search result is insufficient for you. However, it is far from perfect and may sometimes show results which are not really usable because of the nature of the software handles the files. So a conversion that appears as possible, just because of matched actions, may in fact not be possible.