Naturally red hair is one of the most difficult colours to achieve artificially. Once it is coloured a different colour (darker or dramatically lighter) then you are going to have to get a professional with a keen eye for colour to match it as close as possible to your natural shade.
Now that the purple has been removed and it is in the red/auburn shade range, you could either let it fade in tone over time by shampooing it and just letting the pigment dull down, or have a consultation with a colourist who is good at correctional work and they should be able to help you get closer to what you need.