Es dependiendo lo que quieras expresar. Como tu lo especificas seria: by active y by passive.

Miguel clarifies in a comment; "Están manipulando los hechos "por activa y por pasiva", es decir, omitiendo verdades y emitiendo falsedades o mentiras." I understand the context to be propaganda. I could translate this "they are manipulating facts both actively and passively; that is to say, omitting facts as well as publishing lies." Simply as a literal translation of "Están manipulando los hechos por activa y por pasiva" one could say "They're manipulating the facts both actively and passively." I use the adverb forms "actively and passively" because they are modifying a verb. That's the simple answer. One could also say "They're manipulating the facts in both active and passive ways." The problem is that although these translations are accurate and would be understood, it's not a natural choice of words because we don't really use "active" and "passive" in this context. In fact, it would not be clear that "passively" means "by omission." I don't think there's any way to say it in a compact way with a neat pair of parallel words like "active" and "passive." Some possibilities: "They distort the truth both by telling lies and omitting facts." Depending on the emphasis you want, if the main technique is leaving out important parts of the story, you might say: "They distort the truth by omitting facts as much as by telling actual lies." "Not only do they tell a false story, they don't tell the whole story." I want to use the words "omission and commission," because in English there is a phrase "sins of omission and sins of commission," but it doesn't really fit because they are really only used with the word "sin" (pecado).

Por favor, ponte la frase en algún contexto. Una posibilidad de un uso: "Despite the spirited discussions of active versus passive investing strategies, the sad truth is that it has been a disappointing year, for active and for passive investors alike."

Could you give the context?

Sun's (and Googles )suggestion sounds very strange to me. It's possible, but unlikely. Dan's context is one of the few contexts in which that that might make sense.