  Inflaton-vector interactions of the type $\phi F\tilde{F}$ have provided
interesting phenomenology to tackle some of current problems in cosmology,
namely the vectors could constitute the dark matter component. It could also
lead to possible signatures imprinted in a gravitational wave spectrum. Through
this coupling, a rolling inflaton induces an exponential production of the
transverse polarizations of the vector field, having a maximum at the end of
inflation when the inflaton field velocity is at its maximum. These gauge
particles, already parity asymmetric, will source the tensor components of the
metric perturbations, leading to the production of parity violating
gravitational waves. In this work we examine the vector particle production
with an attempt to mimic its backreaction effects on the inflation evolution in
the weak coupling regime. Furthermore, we fully integrate the gauge particle
amplitudes spectrum during this production epoch, studying the behavior until
the end of reheating. Finally, we calculate the gravitational wave spectrum
solely relying on the vector mode WKB expansion in its regime of validity.
