RtI interventions must be evidence-based, which means that the strategies used to address, correct, and improve a weakness or deficiency must have been implemented with documented and verified success of implementation. This is different from research-based in the fact that there must be evidence of effectiveness to be approved for use in the RtI process. The above hyperlink explains more about evidence-based interventions, how to locate and select appropriate interventions, and further reading regarding this important aspect of the intervention process.
Intervention Central includes an extensive library of RtI resources to target specific academic weaknesses as well as behavior interventions. The site is free to use for all teachers.
IES What Works Clearinghouse contains a wide range of activities and strategies to address targeted behaviors and academic areas of students' learning as part of the intervention process. Their website contains a "rating system" of effectiveness of the strategies included based off evidence of use. Explore their library to locate interventions that may be applicable to your classroom situation(s) and study the feedback provided on the site to help determine the potential usefulness in your context.
Evidence for ESSA is a newly-launched website with reviewed intervention strategies for RtI students. Review the evidenced-based selections to identify appropriate strategies to address difficulties students may be experiencing in their given setting.