The supply range is not constant like 1.8 3.3. I do plan to make it working around -+5 to -+10This is a common problem in CMOS. You have the RDSon of both FETs in series across the power supply.
What is the power supply voltage?
You need to have fast rise and fall times of the input signal.

okay this one works fine for meThe supply range is not constant like 1.8 3.3. I do plan to make it working around -+5 to -+10
I also think of this kind of design but this one has considerably low V_OH
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