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We study the Klein-Gordon (KG) oscillator with a Cornell-type scalarconfinement in (2+1)-dimensional G\"{u}rses space-time backgrounds and reporttheir exact solutions. The effect of the vorticity parameter $\Omega$ on theenergy levels is found to yield some interesting features like; energylevels-crossings, partial clustering of positive and negative energy levels,and shifting the energy gap upwards or downwards. Such confined KG-oscillatorsare also studied in a general deformed G\"{u}rses space-time background.Moreover, we consider the confined-deformed KG-oscillator from a(2+1)-dimensional G\"{u}rses to G\"{u}rses and pseudo-G\"{u}rses space-timebackgrounds. The resulting confined-deformed KG-oscillators are found to admitinvariance and isospectrality with each other

european physical journal. c, particles and fields

Confined Klein-Gordon oscillator from a (2+1)-dimensional G\"{u}rses to  a G\"{u}rses or a pseudo-G\"{u}rses space-time backgrounds: Invariance and  isospectrality