What year and rating does the Livingston have? I would suspect that there is a problem in the boat itself, if it is sitting tail heavy. If there is flotation currently in the boat and it is sitting tail heavy, either your foam is saturated or the motor you have on it is bigger than it is rated for..adding to the outside of the transom, could create more problems than it solves, I would do some checking on the boat to make sure.
The current LV14 is only rated at 20hp, so I would say you have to large a motor mounted on the boat...
http://www.livingstonboats.com/downloads/LV_14_SalesSheet.pdf
http://www.livingstonboats.com/boats_14.html
There does seem to be some conflicting information between the web page and the .pdf order form, they say, on the web page that the boat is rated at 20 tiller, 40 remote steering and on the .pdf order form it says straight 20 across for both, I would give the company a call and provide details on the boat your friend has and let them advise you.