give evidence of (something)
To provide proof or confirmation of something. Yeah, you can use your driver's license to give evidence of your mailing address. Her 30-page paper gave evidence of her extensive knowledge on the topic.
give evidence of something
to show signs of something; to give proof of something. You are going to have to give evidence of your good faith in this matter. A nominal deposit would be fine. She gave evidence of being prepared to go to trial, so we settled the case.