After the game, Pochettino said his team believed it was still in the fight for the championship.
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I think the second and the third goals were from our mistakes.
Kane was allowed to turn 35 yards from goal and, with the Everton defence standing off him, unleashed a powerful long range effort past the outstretched Joel Robles.
Kane racked up first-half hat trick in the 4-0 win over Stoke last weekend, producing two opportunistic finishes to go with a deflected free kick.
Out of nowhere though, Lukaku finally scored his first goal against Tottenham to become Everton's record Premier League goalscorer with his 61st.
It was a goal that kept the game alive and afforded Everton a potential lifeline of taking something away from a game where they always looked second-best.
"With Harry he wants to play in every minute of every game to give himself the chance to score the goals".
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But he's hurting, he just hasn't been feeling well. "He's so fun to be around and he did a great job today". McIlroy said: "I'm in a great position, but I felt like I could have been a few more ahead".
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This then stopped any real chances early on being created until a moment of quality saw the home side take the lead out nothing 20 minutes in.
Now, large sections of the Everton fan base on social media are hoping he never plays for them again, while many claimed the game was gone when Barry was named in the line-up.
The Toffees have an 11-point lead over West Ham in ninth so they're firmly established as one of the top eight teams in the country although, on current form, they'd be several spots higher.
"It is purely his motivation - to score goals - and if you ask any player, it is that great feeling". Yannick Bolasie and Muhamed Besic who suffered similar ACL injuries continue to recover from their injuries and they are likely to miss the rest of the season but Everton have more than enough player to cope without them.
"Possibly it's a mentality issue", Liverpool midfielder Adam Lallana said, "and something that we need to learn quickly because time will eventually run out".
After the goal, Spurs started to dominate the game more and they nearly had as second soon after the first when Kane done well to beat his man in the box but this time, Robles denied him with a good save.
It took them until three minutes before the break to edge ahead.