I have generally seen the term "constitutive" used to refer to a "always on" expression of a gene with no anticipated regulatory interaction. Thus the term "constitutive knockout" seems a little bit oxymoronic to me, and I would tend to prefer a different term, like simply "knockout" or, if you really need to differentiate from conditional knockout, "unconditional knockout."
Likewise, if you wrote "constitutive effect", I would tend to interpret that as an effect of a gene being _on_ , not a gene being knocked out. And even then I would find the terminology unsatisfying, as again it's mixing ideas of regulation (effect) and non-regulation (constitutive).
I would suggest you keep the terminology more direct and simply refer to the knockout itself, e.g., "knockout effect", or "effect seen in knockout mice".