Rob Burrow, Danny McGuire and Ryan Hall crossed for Leeds, but they were grateful for Sinfield's late kick.
But, despite losing Jamie Peacock to an early knee injury, Leeds roared back as Carl Ablett and Ryan Hall scored tries.
Saints seemed rattled after a furious start to the second half, and winger Ryan Hall struck first for Leeds.
Ryan Hall began the second half with a try for Leeds but Rovers' scrambled defence repeatedly denied the visitors.
Tadulala and Shontayne Hape closed the gap, but Ryan Hall's interception and a Kylie Leuluai try killed the game.
Scores from Keith Senior and Ryan Hall got them back into contention but they were unable to close the gap.
Two first-half tries from Lee Smith, along with scores from Scott Donald and Ryan Hall gave Leeds a 22-0 lead.
An interception try from Ryan Hall made it 28-12 before a Kyle Eastmond grubber put Tom Briscoe over late on.
The battling Bulls trailed 12-10 at the break, despite Olivier Elima twice responding to tries by Ryan Hall and Jamie Jones-Buchanan.
Ryan Hall had a try disallowed for a forward pass and Jamie Jones-Buchanan also went close for Leeds as Rovers clung on.
With the exception of Ryan Hall, who has been ruled out with a hamstring injury, England's backs line up as they did on Saturday.
But Leeds were far more creative after the break with tries from Ali Lauitiiti (2), Jamie Peacock, Ryan Hall, Lee Smith and Keith Senior.
Richard Whiting and Kirk Yeaman kept Hull in touch, but Leeds took control as Smith touched down a second try, along with Senior and Ryan Hall.
Ryan Hall scored two early tries before Shaun Berrigan hit back for Hull but Senior, Scott Donald and Kevin Sinfield then went over as Leeds dominated.
Ryan Hall and Rob Burrow gave Leeds an early advantage, before quick tries by Jamie Peacock, Brent Webb and Ryan Hall again put them 30-0 up at half-time.
When winger Ryan Hall plucked the ball out of the air and sent his centre Senior over for a third try, the visitors held a flattering 14-10 lead.
His long-range goal, he said, is to contend for an Olympic berth in 2016, so he's looking forward to learning from and competing against the likes of Meb Keflezighi and Ryan Hall.
Indeed, it was Leeds' Ryan Hall who had a try chalked off for a forward pass before Glenn Morrison found a gap in the visitors defence, with Johnson eventually taking advantage to touch down.
Ryan Hall ran in from 70 metres and Ali Lauitiiti also crashed over, but the Panthers kept themselves in the hunt with Ainscough scoring one and making one for Clough before Munro went over on the stroke of half-time.
After pulling it back to 18-12 down at the break, the game appeared to be turning Leeds' way when England winger Ryan Hall took Keith Senior's pass to grab a third try 10 minutes into the second half to cut gap to just two points.
Mathers barged Ryan Hall out of the way, arguably illegally, as he waited to get his hands on a high bomb from Danny McGuire, and the ball bounced forward off Mathers' backside to be collected by Chris Riley - but no offside whistle was forthcoming.
Professor Thomas Hall taught Ryan at Miami University in Ohio.
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