Cream together shortening and butter in a large mixing bowl until smooth.
Add eggs, rum, and milk. Combine thoroughly.
In a separate bowl, sift together flour, baking soda, and salt. Gradually add the flour mixture to the sugar mixture, combining until the consistency is smooth.
Gradually mix in oats until evenly distributed.
Add chocolate chips and toffee pieces and mix.
Drop by rounded tablespoonfuls onto parchment lined cookie sheets.
Bake for 8-9 minutes at 375 degrees, turning cookie sheets around halfway through.
Keyword alcohol cookies, chocolate chips, cookies, rum cookies