I hear the term "snowball effect" the most, when people refer to compounded lies or problems.
It is defined on Wikipedia as "Metaphorically, a snowball effect is a process that starts from an initial state of small significance and builds upon itself, becoming larger (graver, more serious), and also perhaps potentially dangerous or disastrous (a vicious circle, a "spiral of decline"), though it might be beneficial instead (a virtuous circle)."
I usually hear the term "opposite effect" when people mean "paradoxical reaction"; if you took medicine to lose weight but it made you gain more weight, that would be, not a "side effect" but, an "opposite effect".
For your examples, using either the term "opposite effect" or "paradoxical reaction" could work if you're referring to the actions of confronting (the lie) or correcting (the technical problem) and receiving the opposite of that which the action intended. But in referring to the actual lies or technical problems themselves, those would be snowballs or exploding errors.