You can reduce SRB in sustainable fashion by introducing in reactor those microbes which thrives on them. I have used such commercially available cultures in STP's. it is also observed that production of methane is substantially reduced from those reactors.
thus it is advisable to select the right culture combination as per the need / object.
The most important is reducing sulfate (S) in digester, not SRB. To reduce this (S), you need to add some sodium or calcium in your media. We have done in our project to reduce H2S during this biogas production. H2S is a cause for corrotion in the biogas plant.
Other substrates such as lactate and acetate may be considered as substrate for SRB growth. For example in a biogas digester, acetogenic bacteria produce acetate as food source for SRB. Therefor it seems that reducing sulfate is not a merely method to reducing SRB.
Certainly you should avoid adding S to the digester, as possible, but where the substrate is fixed or unchangable, other changes are possible. Most prominently, studies show that the amount of H2S which is generated in biogas is related to the pH. Within the range tolerated by the digester's ecosystem, the more acidic the pH, the more H2S will be generated. Likewise, one can add iron in various forms to reduce the amount of H2S generated. Finally, as shown in the attached article, it is possible to remove sulfur from biogas biologically.
David William House, author, The Complete Biogas Handbook