Silva taps Man City ahead at Boro after three minutes
Aguero adds second from pinpoint Sane cross
Arsenal host Lincoln in day's other FA Cup tie (17:30 GMT)
Lincoln first non-league side in last eight for 103 years
Three Premier League games at 15:00 GMT
Bournemouth v West Ham, Everton v WBA, Hull v Swansea
Middlesbrough 0-1 Manchester City
So what have Middlesbrough got? Adam Clayton, against the team where he began his career, runs into a number of City defenders on the edge of the penalty area, in a rare attack from the home side.
At the other end, Gael Clichy's cross is deflected behind for a City corner, which comes to nothing.
Image source, Getty ImagesMiddlesbrough 0-1 Manchester City
Middlesbrough 0-1 Manchester City
The Meme Man: Take a bow Middlesbrough... Game over.
Middlesbrough 0-1 Manchester City
Chris Waddle
Ex-England winger, BBC Radio 5 live
It's an all-too-simple goal. There were three Manchester City players lining up to score that. It was a gift from the home side.
Middlesbrough have got to push higher up the field or this could be a cricket score.
They have barely come out of the dressing room yet.
Image source, AFP
Middlesbrough 0-1 Manchester City
A shocking start from the hosts. They've hardly had a kick and now they are behind. Some woeful defending leaves Pablo Zabaleta free at the back post and he is able to cross low into the box.
Raheem Sterling can't get there, but David Silva can and he shoots City ahead from six yards out.
Image source, ReutersDavid Silva
Middlesbrough 0-0 Manchester City
A bright start for the visitors, as Leroy Sane sends in a low cross from the left wing, but it is just behind Kevin de Bruyne.
Middlesbrough are sitting deep, and struggling to get the ball.
Middlesbrough 0-0 Manchester City
Let's go. Mike Dean gets play going with Middlesbrough kicking off. It's third bottom versus third top in the Premier League.
Which team will advance into the FA Cup semi-finals?
Image source, ReutersMiddlesbrough v Manchester City (12:15 GMT)
John: What's the opposite of irresistible force v immovable object?! Boro don't try to score + City don't try to keep clean sheets!
Middlesbrough v Manchester City (12:15 GMT)
Manchester City
Pep Guardiola seems to be a man under pressure. The Manchester City boss has admitted it will not be a good season if he does not win anything.
He said: "If I have no silverware, I will not be here for a long time. No silverware - it will not be a good season. Being a manager depends on results. I know what's on my shoulders and I have to handle that.
"I would like to see my team playing better at the end of the season than at the beginning. It is good that the players in the last month have shown how close they are and what good team spirit they have. But I know we will be judged on the titles we have won.
"My period in Munich was judged like a disaster because we were not able to win the Champions League. I won three leagues in a row, we won two cups from three, we arrived every time in the semi-finals and finals, (but) it was (judged) a disaster."
Image source, Getty ImagesMiddlesbrough v Manchester City (12:15 GMT)
Middlesbrough
Middlesbrough may well be in the relegation zone, but boss Aitor Karanka is still looking at the positives.
"It can be amazing especially to realise how good a moment we are living. When someone tells me we are in an awful situation, for me, to be in the Premier League, to be in the quarter-finals, is an amazing situation," said Karanka.
"It's true that we are in the relegation positions, but it is the first time we have been in that position since the league started. For a team like us, we knew that was going to happen. We just have to try to win and show everybody that we are in a really good moment."
Image source, Getty ImagesMiddlesbrough v Manchester City (12:15 GMT)
BBC Radio 5 live will have commentary from the two FA Cup games today, and there will be live television coverage of the other two FA Cup ties - Tottenham v Millwall tomorrow and Chelsea v Manchester United on Monday - on BBC One.
Your rash sporting promises and bets you've made about matches
Steve Day: I bet on Senegal to beat France in the opening game of the 2002 World Cup at 10/1. Drinks all round after that!
Dan Falvey: Bet my Dad West Ham wouldn't be relegated in 2007, if they didn't he'd buy us season tickets. Seven wins in nine - the Great Escape!
Image source, Getty Images
Football Focus
Just to remind you that Football Focus is on BBC One right now, so press play at the top of this page to watch along
The programme features an interview with Manchester City's Leroy Sane, Lincoln City boss Danny Cowley and all the build-up to today's football and latest talking points, plus much more.
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Middlesbrough v Manchester City (12:15 GMT)
Middlesbrough v Manchester City (12:15 GMT)
Middlesbrough: Guzan, Fabio, Gibson, Bernardo, Barragan, Leadbitter, Clayton, de Roon, Stuani, Gestede, Traore. Substitutes: Negredo, Fischer, Ramirez, Fry, Valdes, Forshaw, Husband.
Image source, .Manchester City: Bravo, Zabaleta, Stones, Otamendi, Clichy, Toure, Sterling, De Bruyne, Silva, Sane, Aguero. Substitutes: Fernando, Nolito, Kolarov, Caballero, Delph, Fernandinho, Iheanacho.
Image source, .Our referee today is Mike Dean.
Middlesbrough v Manchester City (12:15 GMT)
We will see some silky skills on the pitch today?
Image source, Getty ImagesMiddlesbrough v Manchester City (12:15 GMT)
Steve Bower
Match of the Day commentator
The midweek league draw at home to Stoke has only increased the importance of the FA Cup if Pep Guardiola wants to mark his first season in England with silverware.
He has the opportunity to lead Manchester City into their first semi-final in four seasons, before heading to Monaco to try and cement a place in the last eight of the Champions League.
Having been frustrated by Mark Hughes' team on Wednesday, City will face a similar task against Middlesbrough.
However, the FA Cup has provided the only positive moments for Boro since the turn of the year and they will need to reach new levels for that to continue at the Riverside.
Image source, Getty ImagesCristhian Stuani's late winner gave Middlesbrough a 3-2 win over League One Oxford United to take Boro into the FA Cup quarter-finals
Leaders Doncaster face Cheltenham and bottom-of-the-table Newport County take on Crewe Alexandra.
An interesting fixture - when the Exiles threw a teenage Michael Flynn out of their youth academy for defying club rules, he feared he would spend his life doing his part-time job, stacking shelves in the local supermarket.
Four hundred Football League games later, however, Flynn will lead the team to Crewe today as their manager after the sacking of Graham Westley, albeit with the club teetering on the edge of being relegated back to non-league.
Follow that, and the rest of League Two's fixtures here.
Image source, Getty Images