Sandaza then had the net bulging only for the effort to be disallowed after Feeney was deemed to have fouled goalkeeper Jamie Langfield in the build-up to the strike.
United are closing in on another appearance in the Co-operative Insurance Cup final after Scott Robertson's first-half goal eased them past Dunfermline 1-0 in their last-eight tie at Tannadice.
A brace in the last five minutes gave Dundee United a 2-0 victory they desperately wanted in their first game since the death of chairman Eddie Thompson.
Match Reports 
Inverness' dismal home form continued as they slumped to a 3-1 Clydesdale Bank Premier League defeat to an impressive Dundee United. 
Jon Daly's double returned Dundee United to winning ways after a 2-0 victory.
An injury time goal for United earns United a draw against an Accies side intent on time wasting and unsportsmanship behaviour.
Kilmarnock ended Dundee United's 10-match unbeaten run with a 2-0 win.
Second-half goals from Darren Dods and Francisco Sandaza stretched Dundee United's unbeaten run to 10 matches with a 2-0 win over Hibernian. 
Falkirk ended Dundee United's six-game winning run after Roy O'Donavan see's red.
United are closing in on another appearance in the Co-operative Insurance Cup final after Scott Robertson's first-half goal eased them past Dunfermline 1-0 in their last-eight tie at Tannadice.