What information are you exactly looking for? About the contamination after sterilisation, I didn't really found academic research. It's assumed all other micro-organisms are killed at 121°C and inoculation is done in sterile environment.
Furthermore we know that Trametes versicolor will produce more enzymes as a defensive function when it interacts with Trichoderma. So, by producing those enzymes T. versicolor will start to acquire more nutrients. That's the tactic to protect itself against intruders. This increase enzymatic activity is also present in other species.
In my opinion adding more micro-organisms in the mixture in order to fight contamination will make everything more complex. But by being able to induce the correct enzymes T.versicolor can fight Trichoderma by itself.
Anyway, if you still want to try: this patent gives you the answer about co-cultivation of some bacterias https://patents.google.com/patent/US9469838B2/en?oq=US9469838
You can address your questions about seasonality/locality directly to your provider of spawn (Mycelia), because this parameters are depending on the strain (M9912), not the species.