The phrase "demonstrate evidence of" is correct and can be used in written English.
It is typically used to indicate a need for providing proof or support for something. Here is an example of how to use it in a sentence: "The defendant must demonstrate evidence of their innocence in order to be acquitted of the charges."
If you are required by your school to demonstrate evidence of marking, a verbal feedback stamp can be very useful.
They also must demonstrate evidence of mutual dependence such as joint financial obligations or proof of a common household.
Back up the project with figures to demonstrate evidence of need.
The candidate should be able to demonstrate evidence of strong written and oral communication skills and past productivity.
Tissue-engineered vascular grafts demonstrate evidence of growth and development when implanted in a juvenile animal model.
Increasingly, diagnostic tests are required to demonstrate evidence of clinical effectiveness before being recommended for clinical use and funding.
We adapted a social network approach to demonstrate evidence of four main communities and two subcommunities within the population.
Students applying to the preliminary-year program typically have relevant experience in a field of study outside design and demonstrate evidence of strong visual acuity.
The home team will seek to demonstrate evidence of promise and progress against Norway before travelling to Switzerland for Monday's awkward Euro 2016 qualifier, with Rooney eager to take on the added responsibility demanded by the captaincy.
To test the hypothesis that women with unexplained infertility demonstrate evidence of diminished ovarian reserve when compared with a population of community controls.
Previous reports have shown that 15% of patients who undergo sequential anterior, then posterior, surgical corrections for spinal deformities demonstrate evidence of acute lung injury.
