At first sight, I can't imagine the purpose of adding or substraticting a square and a sine wave. I wonder if you intend something else, e.g. a digital ("sign") multiplier?
Whatsoever, the ususal steps are:
- define the intended operation unequivocally
- find a circuit that implements it
Presently, there's seems to be a problem with the first step. (Or it's just my lack of understanding...)
Add/sub of multiple signals with optional factors can performed by single OP multiple input differential amplifier, or alternatively with a combination of inverting and/or noninverting amplifiers. In so far I don't see any general problem.