Hollins Holme boss Joel Booth admitted his side’s hopes of silverware look over for the season after two defeats in eight days by Carrington.
Dan Mullaney’s team beat Holme 4-0 in the Senior Cup and followed up with a 5-2 win in the Halifax Sunday League’s top flight last weekend.
Booth insisted his men had not expected to win a trophy this season and praised title favourites Carrington.
He said: “The first season (in the Premier) was always going to be one of consolidation.
“It is going to be very difficult to win the title now.
“We have to hope Carrington start dropping points but they really are a class side.”
Holme had a first minute penalty appeal turned down on Sunday after claims James Chadwick had been pushed.
Carrington recovered and cashed in on defensive errors to open up a 2-0 lead.
Holme had a second penalty appeal waved away but they continued to battle and Jamie Gwilliam pulled a goal back from close range.
They drew level just before the break when good work in midfield ended with Greg Spink finding the net. However, Carrington flexed their muscles in the last 20 minutes and netted three times.
Royd Club’s poor run in Division One continued with a 1-0 defeat at Queens Head.
Both sides worked hard but largely cancelled each other out in an uninspiring contest.
Queens Head had the better of the opening exchanges but were denied by the Royd’ keeper, who produced three decent saves.
The chances dried up and it took until the 75th minute for Queens to make the breakthrough, Jordan Peel’s shot just beating the ‘keeper.
Hollins host Elland Sports on Sunday while Royd Club are at home to Triangle.