Better to say: "I am making sure that the trip will go smoothly" - "will be going" implies almost 100% certainty. I wouldn't use follow through, as it implies seeing something reach its intended conclusion.
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AnonymousI am making sure that the trip will be going smoothlyIt sounds vaguely like Indian English. Try this: I'll make sure that the trip goes smoothly.
AnonymousI am making sure that the following through of the trip is good.An English speaker would never say this, but the basic idea is the same as the idea in your fi