Boyhood fan Dan Burn set Newcastle on the road to their first League Cup semi-final for 47 years with his first goal for the club as stubborn Leicester finally wilted.The £13million January signing's 60th-minute strike and a fine finish from Joelinton proved enough to secure a 2-0 Carabao Cup quarter-final victory in front of an ecstatic crowd of 52,009 at St James’ Park and keep alive the Magpies’ hopes of a first domestic trophy since their 1955 FA Cup success.Three days after a much-changed team was dumped out of that competition by League One Sheffield Wednesday, Eddie Howe’s men once again missed first-half chances but ultimately were not made to pay on this occasion.The Foxes might have dragged themselves back into late on with substitute Jamie Vardy guilty of two uncharacteristic misses, but Newcastle were good value for their win.They might have been ahead within a minute of kick-off when, after Miguel Almiron had charged upfield from deep inside his own half and picked out Joe Willock on the left, he crossed for Sean Longstaff only to see his fellow midfielder scuff wide.Bruno Guimaraes blasted a long-range attempt past keeper Danny Ward’s right post two minutes later with Almiron once again the instigator as the Magpies attempted to repeat the blistering start to their Boxing Day trip to Leicester which laid the foundations for a 3-0 Premier League win.The visitors simply could not force their way into the game, with Patson Daka threatening sporadically on the break, although former Magpie Ayoze Perez did warm Nick Pope’s hands with a 14th-minute drive.Guimaraes missed the target once again after Willock and Joelinton had linked well down the left, and it took a fine reaction save by Ward to deny Longstaff