The young wingers, who have each represented England Academy, made a big impression with their hometown club last year and are looking to build further once the sport resumes after Covid-19.
“They are very significant retentions for our club,” said Woolford, after the duo followed 21 year-old forwards Sam Hewitt and Jon Luke Kirby in agreeing new deals.
“They’ve come along nicely over the last two years and I’d expect to see continued improvement both physically and mentally I’m the boys next phase.
“They have all the tools: big, strong, fast... they really do have the rugby league world at their feet.
“How far they go in this game will be purely dictated by Louis and Innes.
“They’re great lads to coach and we look forward to working with them for the next 18 months.”
Innes Senior scored four tries in 18 appearances last term while his sibling crossed eight times in just outings.
Although both are furloughed with the sport shutdown since mid-March, Louis Senior had no hesitation in signing the new deal.
"I’ve really enjoyed my time at Huddersfield Giants so far and have managed to get a lot of game time in recent games,” he said.
"I played pretty much the whole of the second half of last season and have only missed out on a couple of games this year so far so I’m happy with the progression I’m making with the Giants, which has made this contract extension easy to sign.
"We’ve been training hard during this time (lockdown) and managed to put some muscle on but I still miss all the gym equipment and it’s hard to do much rugby training with only two people."
His brother added: "I’ve been enjoying my rugby at Huddersfield Giants for a long time so it felt natural to sign an extension.
“I’m excited for the future of the club, especially with the squad we’ve got at the moment.
“I feel like we’ve got the best squad we’ve had since I made my debut so I’m excited to see what we can accomplish.”
Super League are hopeful games could start again in July and Innes Senior believes he will be ready to show his quality.
“Me and Louis have managed to maintain a pretty good training schedule since lockdown,” he said.
“I’ve always got a training partner so I’m able to continue working on a lot of aspects of my game already.
“I know I’ll be in a good condition for when the time arrives for me to start our second pre-season."
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