  We investigate Klein-Gordon (KG) oscillators in a G\"{o}% del-type
Som-Raychaudhuri spacetime in a mixed magnetic field (given by the vector
potential $A_{\mu }=\left( 0,0,A_{\varphi },0\right) $, with $% A_{\varphi
}=B_{1}r^{2}/2+B_{2}r$). The resulting KG equation takes a Schr%
\"{o}dinger-like form (with an oscillator plus a linear plus a Coulomb-like
interactions potential) that admits a solution in the form of biconfluent Heun
functions/series $H_{B}\left( \alpha ,\beta ,\gamma ,\delta ,z\right) $% . The
usual power series expansion of which is truncated to a polynomial of \ order
$n_{r}+1=n\geq 1$ through the usual condition $\gamma =2\left( n_{r}+1\right)
+\alpha $. However, we use the very recent recipe suggested by Mustafa
\cite{1.29} as an alternative parametric condition/correlation. i.e., $\delta
=-\beta \left( 2n_{r}+\alpha +3\right) $, to facilitate conditional exact
solvability of the problem. We discuss and report the effects of the mixed
magnetic field as well as the effects of the G\"{o}del-type SR-spacetime
background on the KG-oscillators' spectroscopic structure.
