How to fix Transmission fluid in the motor oil

What is your question?

Trans slips and it was smoking really bad after starting. This was after anti theft mode was bypassed. We put in new oil and trans fluids only to discover each addition of trans fluid ended up in with the motor. Due to excessive smoke we thought trans fluid was getting burnt off. How to fix trans fluid in motor oil and why does this occur.. Curiosity question as person told me I could put vegetable oil in emergency for trans fluid. I live in the middle of desert but since it's draining into motor oil that didn't sound like a good idea. Can you do thus

How long has your 1993 Buick Park Avenue had this problem?

Car sat for over 5 months this trans issue about two months. We are not really driving the car