Technobabble is a term for an explanation for a complicated situation.
In 2369, Q goaded the senior staff of Deep Space 9, who had been unable to find the cause of a crippling power drain on the station, by saying "Picard and his lackeys would have solved all this technobabble hours ago." (DS9: "Q-Less")
In 2372, when Tom Paris and Neelix were alone together in a shuttlecraft descending to the surface of "Planet Hell", Neelix said he was unimpressed by the technobabble spouting from Tom's mouth as he completed the shuttle's log. (VOY: "Parturition")
Appendices
Background
Technobabble (also known as Treknobabble) is a moniker describing the pseudo-scientific terminology of Star Trek. On Star Trek: The Next Generation, some of the actors dubbed it "Piller-filler" after executive producer Michael Piller. (Captains' Logs: The Unauthorized Complete Trek Voyages, p. 252) While the terminology itself is unavoidable, several episodes were criticized for its use as a Deus ex machina. A notable example of this is the frequent use of "reversing the polarity" of whatever piece of equipment happens to be involved at the time, or "remodulating" whatever energy field or beam involved.
The scene in "Rascals" where Riker confues the Ferengi Morta with gibberish technology (such as the firomactal drive and isopalavial interface) was added by uncredited co-writer Ronald D. Moore as his "salute to technobabble". (Star Trek: The Next Generation Companion 2nd, p. 224)
Beginning in Season 3 of Star Trek: Deep Space Nine, the DS9 writers made a conscious effort to reduce the amount of technobabble in scripts. (AOL chat, 1997)
Among the most notorious examples of technobabble are Star Trek: Voyager's "Threshold", the baryon sweep and the Heisenberg compensator, but even famous pieces of Star Trek technology like the warp drive or phasers belong to this category.