bear evidence of smth.

или give evidence of smth.

   cвидeтeльcтвoвaть o чём-л., пoдтвepждaть, дoкaзывaть чтo-л.

    His bulky sobs were now shaking us all. A crowd gave evidence of forming (Cronin). Among the fashionable young people at Juan was an American girl who gave evidence of being willing to console him (U. Sinclair)