I believe the colour of Bakelite is determined predominantly by the filler and it ought to be possible to use the same fillers in a cast epoxy resin to achieve, pretty much, the same colour. The hard part might be getting the degree of surface shininess to match that of Bakelite. If the moulds were available that should be the sort of experiment which could be carried out in a garage. Silicone moulding rubber is fairly readily available
https://acc-silicones.com/applications/mould-making and colleagues of mine used to use it at work if we needed to produce a cast-resin part from an existing original. A little hand-finishing was sometimes required, but if they wanted the part badly enough then they would be prepared to do that.
Cheers,
GJ