Try starting with a light chocolate frosting and add red to it. some reds have a bitter taste so be careful how much you add, or try a No-Taste Red.
If you want burgundy, tru adding a little purple to your color for the desired effect.
hth
I'm not sure if our definitions of burgundy are the same, but is this the kind of colour you are thinking of? I made it accidentally by combining dark blue and red to try and make purple. I believe I added too much blue, thinking that blue would make it more purple.... turns out it doesn't! I'd suggest testing out a little bit at a time first... try two drops blue to one drop red etc....
http://cakecentral.com/modules.php?name=gallery&file=displayimage&pid=1736290
No, that.s not the color I had envisioned; glad you posted the pic. That almost looks like a dark mauve. Sorry for the suggestion, it's not going ot achieve that color..
I start with a super red gel paste and and a drop or two of purple until the burgundy I like is achieved. 
HTH
Sorry, can't get the picture loaded. Look in my recent photos at the one "Say Cheese" with the cheese wedge. There is a mouse standing on the cheese. I tried that burgundy color years ago & it was a waste. Wound up going in a whole different direction on the cake. Advantages of making what you want, for nothing, for friends & family. lol
Good luck!
Whenever I'm trying to achieve a darker color such as burgandy, I use a touch of black. I used a burgandy & black combo to get the color on the flowers in the attached pic.
http://cakecentral.com/modules.php?name=gallery&file=displayimage&pid=1222526
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