They focussed on tonight's head-to-head independence debate featuring Deputy First Minister Nicola Sturgeon and Labour counterpart Anas Sarwar, which they said would be blacked out because the Gateshead-based ITV franchise, which serves a cross-border audience, was not screening it.
South Scotland SNP MSP Joan McAlpine has written to Michael Jermey, Director of News, Current Affairs and Sport at ITV, condemning ITV Border for not taking the STV-made show.
She said: "At such an important political juncture in Scotland's history I do not intend to give in and accept that simply by virtue of geography, viewers on the Scottish side of the ITV Border region should be denied the same access to referendum coverage as someone who, for example, lives 20 miles away in Edinburgh.
"People in the Borders have exactly the same rights as people in the rest of the country in seeing all types of referendum coverage.
"Some Borderers are at a disadvantage being denied access to programming that the rest of the country is receiving to inform the debate.
"Having previously discussed this with ITV I was assured they would continue to talk to STV about programming they produce and take a view on a case-by-case basis whether to broadcast the same programme on ITV Border.
"I would be interested to know how the decision not to broadcast this particular programme was reached."
Calum Kerr, Chairman of Yes Scottish Borders, said: "ITV Border have recently told us that they are committed to providing more coverage of Scottish affairs and of keeping people in this region informed about the referendum debate.
"Well, if that's the case, then this isn't a very encouraging start. All the opinion polls show that Scots - including here in the Borders - are desperate for more information about independence and what it will mean before they decide how to vote.
"This is just the sort of programme to provide that kind of information, live and directly from two of the most important politicians involved in the debate. But they haven't made the effort to screen it."
Mr Kerr continued: "The programme schedulers in Gateshead seem to think that living near the border means we are less interested in the future of our country. That's not just inaccurate - frankly, it's foolish and short-sighted.
"People living in the Borders are just as keen to know more about the referendum as their fellow Scots living in other parts of Scotland. We want and need to be informed in order to take part in the biggest decision in Scotland for 300 years.
"We also need to remember that it's not the first time this has happened. In May, STV showed Nicola Sturgeon in a live debate with Scottish Secretary Michael Moore - who of course is an MP representing the Borders. Viewers in this region didn't get to see that live either.'
STV will show this week's Sturgeon-Sarwar debate as a live stream over the Internet, Mr Kerr added, but this is of little help to the thousands of people in the Borders who do not have access to a computer or who suffer from the region's notoriously slow broadband.