"some sort of evidence" is a correct and usable phrase in written English.
You can use it whenever you wish to describe a certain type of evidence, either general or specific. For example, "The police were looking for some sort of evidence to confirm their suspicions."
I hope somehow they'll find some sort of evidence.
"The appraiser has to be able to provide some sort of evidence for that adjustment.
They were desperate to find some sort of evidence against me but, of course, they found nothing.
Eagleman claims that he is offering something beyond the simple observation, held by agnostics for centuries, that there could be some sort of evidence that's been left out.
So you can't disprove the existence of Go… sorry, Mind Change, but surely you can provide some sort of evidence that it exists?
The Home Office interviewed both of us separately at the same time for six hours and finally they had some sort of evidence to investigate and find out whether we have been together in a long relationship or not.
All crime labs have some sort of evidence-intake unit, where evidence is received and assigned a unique laboratory and case identifier.
One of the key points of even having a trial is for the trial jury to sort out conflicting evidence; absent a confession, every criminal case has some sort of conflicting evidence.
Similar to the awareness requirement, though even more restrictive, the speaker must have some sort of direct evidence to claim that something is fixin' to happen.
Barring some sort of damning evidence, he says ending the Trump presidency isn't a job for prosecutors or politicians.
The meetings must "involve at least 2 members of The Base network" and have some sort of photographic evidence.
