What lasting influence did the colonial economy have on our present day?
It was a little hard to understand your question. I have edited to say what I think you were asking. Please let me know if this is not what you meant.
The colonial economy does not have a tremendous impact on us now that we are hundreds of years in the future. For the most part, the economies of our states have changed very much from the time that they were colonies. Of course, we have many states that were not colonies at all and which have a tremendous impact on our economy. For example, the fact that we now have the Midwest means that not much grain is grown in New England anymore.
However, we can see two major lasting influences. First, we can see that the cities that were important in the colonial economy are generally still important. These were largely port cities (on oceans and rivers) like New York City, Boston, or Philadelphia. Second, the fact that the South is still generally poorer than the North is connected to the colonial economy. The South developed as a region of unfree workers (indentured servants and then slaves) working for a few rich planters. There was not much of a middle class and the economy was not very diverse. These economic problems made it so that the South has continued to be poorer than the rest of the country long after both slavery and colonial times have ended.