12th Amendment: "–the President of the Senate shall, in the presence of the Senate and House of Representatives, open all the certificates and the votes shall then be counted;–"
Seems pretty clear.
If the "President of the Senate" refuses to go along with a fraud, then the constitution allows the fraudsters no other options.
If Pence had guts, he would have refused to cooperate and *FORCED* them to do something about it.
The Electoral Count Act of 1887 specifies that the votes are counted by four tellers, two chosen by the majority and two chosen by the minority.
The Vice President opens the votes and hands them over to be counted.
HE DOES NOT COUNT THE VOTES.