Each channel has only the one EQ. This alway affects L+R (and Groups), and will also affect Mix sends IF you’re using a send point after the EQ.
I tend to usually run my monitors from before the EQ (and so before the compressor too) so that what goes into the mix bus is flat. I can then use the EQ of the mix output if I need to change the monitor sound. That leaves me able to adjust EQ & compression for FOH without changing the band’s mixes on the stage.
The other option, if you really need a different EQ in the monitors, is to use two channels (with a simple Y splitter at the desk, or digital patching if you use dSnake box), then source your monitor mixes after the EQ, though I’d suggest still before the compressor. If you want to do this with lots of channels though, you may need a bigger desk! Or a dedicated monitor desk……