In this work, we scrutinize the consistency of spacetime homogeneous Gödel-type metrics within f(R, Q, P) theories of gravity for well-motivated matter sources. As it is well known, such geometries allow for causality violation. We provide general conditions to engender completely causal solutions in a manner completely different from general relativity. We take some specific models, for instance, $$f(R,Q,P)=R -\dfrac{\mu ^{4n+2}}{\left( a R^2+b Q+c P\right) ^n}$$ $f(R,Q,P)=R-\frac{{\mu }^{4n+2}}{{\left(a,R^2,+,b,Q,+,c,P\right)}^n}$ , to illustrate the general results. Notably, we also find an unusual completely causal vacuum solution in the presence of a non-trivial cosmological constant which corresponds to the case $$m^2=4\omega ^2$$ $m^2=4{\omega }^2$ .