Second-placed Ipswich had drawn 2-2 at Norwich in the early kick-off, but Farke's side failed to take advantage.
Crysencio Summerville opened the scoring with nearly an hour gone after being set up by Georginio Rutter.
But defender Bobby Thomas hit back with 66 minutes played as he rose highest to head home&nbsp;disappointed "I'm and frustrated," said Farke. "When you win a point at this level it is always valuable, but it was a case of two points lost.
"We should have won.&nbsp;I want us to feel this frustration and not talk too much about the game.
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"It was clear Coventry put everyone who could defend on the team sheet. It was&nbsp;clear they would sit very deep, and we would need to be patient. We created several good chances in the first half, but we could have done a little bit more." Leeds did not start at their usual fast pace which had seen them win seven Championship home matches in a row.
Ben Sheaf's fine tackle denied Joel Piroe a chance to shoot as Leeds looked to add a goal to their early dominance.
Sheaf brought a save out of Illan Meslier with a shot from the edge of the area. Tatsuhiro Sakamoto then shot wide from a similar position as Coventry created another opening. Leeds twice went close as first Glen&nbsp;Kamara was crowded out in the Coventry area and then Rutter failed to get a touch to a low Dan James cross.
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James fell in the Coventry area under pressure from Joel Latibeaudiere as they chased an Ethan Ampadu pass but ref Geoff Eltringham rightly ruled there was no contact.
Leeds were guilty of trying to be too cute at both ends of the pitch and Rutter&rsquo;s touch which failed to put Archie Gray through with a run on goal was typical of that.
Rutter flashed a shot just wide, Thomas blocked the French striker&rsquo;s low cross and Joe Rodon headed a corner off-target as Leeds looked for an opening.
Ampadu blocked Sheaf &rsquo;s pass and Summerville fed Rutter, but his missed shot-meant&nbsp;another chance went begging in a goalless first half.
Leeds began the second period camped in the Coventry half, but were unable to create a real chance.
Rutter's shot was blocked in the area but he had a telling contribution to the opening goal after 57 minutes.
Ampadu fed Rutter and his clever touch and pass set up Summerville, who curled a low shot around the dive of Brad Collins.
Collins pulled off a one-handed save to deny James who shot on the turn and Coventry made Leeds pay for wasted chances as Thomas headed home the equaliser.
Sakamoto's cross from the right saw the defender rise highest in the area to head past Meslier.
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Farke frustrated as Whites are held

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