Where do the names "Autobot" and "Decepticon" even come from? Are there any sort of root words that go with them?
Dear Etymology Enthusiast,
This answer is complicated by language barriers that span galaxies. As Galvatron alluded to—albeit in tones I would never use—Cybertronian words can be very linguistically dense; a translation that conveyed every nuance of our equivalent for "Autobot" would take over seventeen minutes for a human to say! As such, "Autobot" and "Decepticon" are only approximations of the neocybex names of these factions.
In many universes, my faction is named for the ideals of freedom and autonomy—hence, "Autobot" is derived from the term "autonomous". Sometimes this reflects a casting off of Quintesson rule or triumph over a caste system, but in other contexts—sometimes simultaneously—it reflects a darker facet of Cybertronian history. A famous bot once said that autonomy was a gift, a spark of sentience kindled by Primus himself. That bot's name was Nova Prime, and he used that belief to justify the subjugation of hundreds of alien worlds.
The suffix translated as "-bot" encompasses ideas such as "person", "individual", "independent agent". It could be considered an adaptation of the common English-language "man", of course—you might be familiar with the Aerialmen, the Dinomen, and the Sparkamen—but "bot" conveys that it most commonly refers to mechanical lifeforms. While typically used in the names of teams and factions, occasionally an individual might be called "Dinobot" or "Dreadbot"; such sobriquets can be seen as similar to a human being carrying a family name as their first name, such as "Jackson".
As for "Decepticon"… much has been said of the phrase "you are being deceived." In many universal clusters, this is indeed the earliest origin of the term. "Decepticon" suffers to a greater degree from the imperfections of localization. In many universes, Cybertronian language uses nuances related to subject and object that fail to translate, especially when neologism is concerned; "Decepticon" principally suggests "deceptive" in English, but in its original Cybertronix, the waveform can simultaneously be read as "the deceived".
The "-con" suffix is not dissimilar to "-bot", though it carries subtly but significantly different implications. "Person" is an adequate translation, but its meaning is much broader, not being restricted to living creatures; you may know of data-cons, information storage devices commonly used in my home reality. The closest equivalent to the suffix in your language would be "entity"—or, more bluntly, "thing". As such, the translation "-con" is derived from your language's "construct", a created object or idea.
The reasoning for the use of this suffix varies across the multiverse. On versions of Cybertron where Functionism took hold, Cybertronians of lower labor castes, or with alternate modes considered fit only for use by others, were more likely to have "con" names or be assigned categories like "Constructicon", "Agricon" or "Recordicon". Conversely, in universes where the Decepticons originate as a military junta, the use of "-con" carries the suggestion of component; all Decepticons are considered to be a part of Megatron's war machine. These implications, of course, carry over to the Mini-Cons. While I am proud to count Safeguard as a friend and partner, for much of my world's history, Decepticon and Autobot alike treated his kind as "smart tools", as mere objects to be collected. Regardless, the Great War created extreme political polarization of the "-con" suffix, and nearly no self-described Autobot adopts it; even as Decepticons freely use "bot" to describe themselves, "con" is almost exclusively used by Autobots as a term of animosity.
One more suffix you may have heard of is "-tron"; here, the root is "positron"—which, before the introduction of microscope alt-modes, we simply understood to be the stuff of sparks. The Cybertron factions of realities like the G1 World and BT World draw their names from a well of indigeneity; unlike the invading, colonizing Quintessons, the Cybertrons are the true sparks of the planet and derive their name thus. The Destrons, then, are destructive sparks who oppose the planet. Naturally, "-bot" and "-con" recur in these worlds too, following similar etymological patterns.