There has been so much research over the past 5-10 years over Evidence Based Practices for Autism. There are even 2 reports out about these practices (National Standards Project and National Professional Development Center on ASD).
This graphic from NPCD shows the overlap of the two studies.
There are so many Evidence Based Practices, but where does one start! It can be overwhelming (especially in the first couple years of teaching special leaners). Luckily, through colleagues and trainings I have been introduced to the Autism Internet Modules. This free resource is AMAZING! They have a growing bank of modules based upon the EBPs. You do need to register to use the site, but I have not gotten 1 email from them in 3 years.
I have used some of the modules and use them for staff trainings. This resource is fantastic! There are currently 45 modules with 25 pending modules! I strongly recommend that you check out this resource if you have not yet!