There is no lack of evidence. All Trump has is an attempt to smear a man that committed crimes and went to jail in his service, as if he wasn’t the source of it all.
Sure, there is sufficient of evidence that Pecker and Cohen worked to suppress the stories, that Trump knew about it, and expected to pay for the NDA's. He was reluctant, and initially said that he didn't want to pay- he said the stories would come out anyway.
That much is in evidence from Pecker's testimony and corroborated by emails between Pecker or Dylan Howard, and Cohen. All the communications were between Cohen and AMI, or Cohen and Davidson. Trump was not party to any of those conversations.
Pecker received assurances from Cohen that Trump would pay for McDougal's NDA, and the recording of Trump by Cohen refers to the payment to AMI. There were also some unpublished stories about Trump that Cohen was trying to get in that transaction, which Pecker ultimately backed out of. That is the recording where Cohen said he was working out the financing, and Trump said pay in cash, and Cohen said "no, no, no, I got this."
That is the only recorded conversation with Trump.
The repayments to Cohen were worked out between Cohen and Weisselberg, who told the controller how to record the invoices. The controller sent several emails to Cohen asking for the invoices so he could enter the bills into the accounting software.
No one has offered any documentary evidence or testimony that Trump was involved in any of that. The first two checks came from the trust and were signed by Weisselmann and Don Jr, the other nine were signed by Trump and came from his personal checking account.
That is the record in this case as presented by the prosecution.
Cohen smeared himself by admitting to a false campaign finance violation, and blaming Trump to get a lower sentence on his tax evasion and bank fraud charges with the DOJ. So that's on him.
NDA's are not illegal, no campaign money was used, and paying a lawyer and recording it as "legal expenses" is perfectly valid. There was nothing to "cover up" by January 2017- the Wall Street Journal had already published the story about McDougal and Daniels on November 4.
You would know all this is if you looked at the transcripts and the evidence in the case...