Mata had scored a superb free-kick on the hour-mark to fire United ahead at the King Power Stadium after a clever finish on 40 minutes had levelled the scores.
"You have to keep going".
"But we need to keep going and, from (Christmas Eve), rest and think about the next game - obviously with the will of finishing the game with a much better feeling".
"I'm not just saying about the privileged teams with six days to recover and to enjoy and to prepare for the next one, but also the ones with a little bit more (time) than us, for example the ones that play after tomorrow - that extra day means a lot", Mourinho told Sky Sports News.
"If we instead of drawing win at the end, we would have been saying that it was a fantastic game, that we came back and we did the most hard thing which is to score twice after they went ahead".
"We didn't kill it - and we should have killed it", Mata said.
Chelsea moved to within a point of second-placed United, overcoming Brighton 2-0 with goals from Alvaro Morata and Marcos Alonso.
"It feels like a victory but it is only a point against a good side".
Michael Carrick and Maroaune Fellaini have been ruled out of the festive period, while Antonio Valencia has been struggling with a hamstring injury of late.
Christmas celebrated with fervor and gaiety in Kerala
In Gulmarg's Saint Mary's church, Santa Claus distributed chocolates and candies among the children. The department has already inaugurated skiing and other winter sports activities at Gulmarg.
Matteo Darmian missed the Leicester game, while centre-half Chris Smalling was hampered by a late injury.
"Mourinho is a victor and he hates the fact he's not top of the league, hates the fact he's not in the league cup, hates the fact he doesn't believe he's really got a squad capable of winning the Champions League or Premier League and he believes at Manchester United that should be a given, that Manchester United should always be competing".
Burnley will be looking to respond to the 3-0 home defeat by Tottenham Hotspur at the weekend and will be without in-form defender James Tarkowski, who serves the second game of a three-match ban.
Burnley may be winless in their past three games, but they will depart Old Trafford with their heads held high and an invaluable point earned. "We were punished in two points". "Whichever team we put out there, we've always been competitive".
"The key is to be competitive".
"We'll have to continue to do that".
"Adding a suspension does stretch it, but I've great faith in the players".