Aston Villa boss Steven Gerrard “won’t hide from the noise” as his side were booed after defeat by Chelsea.
But Villa dominated before half-time and hit the woodwork twice, with Gerrard saying his side will be looking to repeat that in the coming weeks.
The club are 16th in the Premier League, one point above the bottom three after two wins this season.
The defeat ended a run of four games without a win, one win and three draws, including a point against Manchester City.
“I think I’d be a fool not to worry about myself or know where we are and I accept that,” Gerrard said.
“Whenever I’ve spoken to the media, I’ve been upfront and I won’t hide from the responsibilities, criticism or noise coming out of the stands today.
“But what I will say is, if these players can repeat that first hour going forward, I don’t think this team will have any problems and they certainly won’t be in the league zone now.”
He added: “We want Man City’s performance and today’s time to be consistent. That’s what we’re trying to get to.”
As well as being blocked at the final whistle, Gerrard was jeered by a section of supporters as he walked down the tunnel.
It came after one of the best halves of the season, however, in which Chelsea goalkeeper Kepa Arrizabalaga produced fine saves to deny John McGinn, Danny Ings and Leon Bailey.
“You can understand the frustration because for an hour they’ve seen the band play really well but without a goal. I can hear the band singing from the Holte End. I know about it all, but that’s all.” said Gerrard.
“I have to accept it and try to do everything I can to change the way they feel right now.”
Villa were on the back foot after Mings’ opening error, and Mount’s second, a 65th-minute free-kick that ended as a contest when goalkeeper Emiliano Martinez headed the wrong way.
But Gerrard said Mings and the team reacted well to going behind so early.
“To be fair to Tyrone, I’ve been in dressing rooms where people make mistakes and don’t put their hand up and take responsibility for them,” he said.
“Tyrone has done that and I told him there was no need because his reaction has been great since then and his form has improved tremendously in my opinion. He’s been one of our strongest performers.
“Apart from that mistake, I thought it was good again today. And the reaction from the team to go a goal down was positive and strong. So as a coach, that’s all you can ask for.”
Chelsea boss Graham Potter said he was pleased with the result and a fourth clean sheet in a row.
His team is unbeaten in six games since he took over, winning five in a row.
But Raheem Sterling’s attempt to play at right-back caused consternation after Reece James’ injury, with Potter changing his line-up at half-time.
“Obviously we’re happy with the result because it was a tough game,” Potter said. “Aston Villa definitely made us suffer in that first half. We needed Kepa to make some fantastic saves and in the end Mason made the difference. We were more consistent in the second half.”
Mount’s goals were his first for the club this season and came in front of England manager Gareth Southgate with the World Cup starting next month.
Potter said of Mount: “He’s got quality, he’s got the ability to score and assist. Sometimes players go through a bit of a slump if the team isn’t working as well and maybe the team didn’t work as well as it could have. As a result, individuals don’t they play to the level
“But the effort has always been there from my point of view and once he can get into the spaces we want to get into, he’s got the quality to execute and you saw that today.”