What is the difference between bachelor of science in engineering and bachelor of engineering in the US?
In the United States there are a number of different types of bachelor's degrees that are essentially interchangeable, and which one a person gets depends primarily on the history of their institution.  As such, the particular name of your degree is not likely to confuse anybody, as long as it has the word "Bachelor" in it, and the correct thing for you to do is to simply name your degree as it has been given to you.