He was not wearing a coat when he left a Christmas party in sleet and snow on 17 December.
Up to 50 officers and volunteers have been searching an area near the Carden Park Hotel in Broxton, where Haydn was last seen leaving a party held by his employers, a Mold construction company.
Local residents and farmers have been asked to check sheds and outbuildings.
The Cheshire Police air support unit, dog handlers and an underwater search team have also been called in to help.
Members of the Cheshire Search and Rescue team, a volunteer group, have been assisting the police.
Inspector Barry Brown of Cheshire Police said the search remained ongoing and they were renewing their appeal for help from the public.
"There are significant sections of the community who can really help us by reporting anything unusual they might see as they move out and about," said Inspector Brown.
"This includes dog walkers, hikers, off road cyclists, as well as other people who head off the beaten path."
"If you see anything which you think may be relevant, no matter how insignificant, we would like you to get in contact with Cheshire Police"
Officers have said previously the teenager may have become disorientated with the cold and unfamiliar surroundings after attending the Christmas party.
Haydn is about 5ft 9in (1.76m) and slim, with short brown hair and blue eyes, and was last seen wearing a dark long-sleeved shirt and trousers.
More than 1,900 people have joined a Facebook group appealing for information.
Police described the area as "large, rural and, in places, very difficult to access".
Celebrities including TV fashion guru Gok Wan and comedian Freddie Starr circulated the appeal on their Twitter social media feeds.
Anyone who travelled on the A41 Whitchurch road or A534 Wrexham road and may have seen Haydn Evans has been asked to contact Cheshire Police on 101.
The hotel is east of Wrexham and 12 miles south of Chester off the A534, near Clutton.
Last week, Mr Evans' stepsister Jade Conway issued a direct plea to him to get in touch, saying: "Haydn, we are all devastated about your disappearance.
"If you are listening to this, or have seen the appeal for you, please contact us."
Anyone with information should call Cheshire police on 101 or the missing persons helpline on 0500 700 700.