Do you know which bacteria you will use for the eexperiment? I ask because the bacteria may require a specific nutrient during the acclimation, I.e. adaptation, process. In brief, acclimation requires a series of transfers. Once the bacteria have been growing in any 'easy' carbon source (often glucose for aerobic species), you slowly decrease the easy carbon source while simultaneously increasing small amounts of your target contaminant.
Why don't you try to see the best conditions for growing your mixed culture in the lab scale regarding different combinations of sucrose and the dye?
Based on my experience, it is not that easy for the microbes to change their metabolism very quickly and efficiently, so you need to find the best conditions in the lab and then apply them for large scale!
Try to passage your inoculum in an increasing concentrations of the dye and see the results!
you can mix your initial culture whit small amounts of dyes with its usual feeding, one week eating this new food, then if the biogas rpoduction is good, we can add more dye to the feeding, step by step we can try. in any case dyes are in general difficult to degradate... you can take biomas from the background of an industrial dye wastewater with a long time in the sewering... then you can tale a good biomass...
in any case, you can mix this biomas with your initial biomas... I think.