Tim Sherwood's men fell to a 3-2 defeat at the King Power Stadium on Sunday afternoon after letting a two-goal lead slip in the second half.
Speaking to Sky Sports after seeing his side let a two-goal lead slip in the second half, Richards said: “When it went to 2-0 there was a part where, I don’t know how many passes we strung together, but the crowd was waning and we got a little bit complacent.
“I think their first goal killed us really. We let them back into the game and after that the momentum was with them – we couldn’t get back into it.”
After Jack Grealish’s first-half opener, Villa looked on course for their second Premier League win of the season in the 63rd-minute at the King Power Stadium when Carles Gil doubled their advantage with a spectacular left-footed strike from the edge of the box.
However, unbeaten Leicester pulled a goal back nine minutes later through Ritchie De Laet’s header off a Riyad Mahrez corner, before Jamie Vardy prodded home the equaliser eight minutes from time after getting onto the end of Danny Drinkwater’s cross.
With Villa proving unable to cope with their opponents’ pace on the attack, the Foxes pushed for victory and completed their comeback in the 89th-minute, as on-loan winger Nathan Dyer beat goalkeeper Brad Guzan to a ball over the top and headed into the net.
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The defeat leaves Tim Sherwood’s men in 15th-place in the table on four points, having gone without a league win since beating Bournemouth 1-0 at Dean Court on the opening day of the season.
Nevertheless, Richards, who was unfortunate to end up on the losing side after putting in a strong display in the heart of the defence, still saw some positives in his team’s performance after a dramatic summer rebuild.
“I think, as a new team, it’s always going to take time,” he added. “If you saw us in the first half, I thought we were outstanding but, in football, when you’re up 2-0 you should win the game.
“If you don’t see it out you get punished in the Premier League and that’s what happened today. We knew it was going to be difficult in the second half because they were at home and had the crowd on their side but we didn’t really turn up.
“I was disappointed for the lads but I don’t think we deserved to lose today. We played some fantastic football but we don’t seem to be getting results.”
Villa's next game sees them host West Bromwich Albion on Saturday, in a repeat of the fixture that earned Sherwood his first win in charge with a 2-1 victory last March, before they face fellow Midlands rivals Birmingham City in the third round of the Capital One Cup three days later.
After the manner of the Foxes defeat, back-to-back derby wins would certainly help lift the mood around the club but, with the team clearly still gelling at this early stage of the campaign, that could prove a tough ask.