Phil Stafford said his side didn't look like winning the game after going 2-0 down against Silsden on Saturday at Litherland Sports Park.
The REMY went into half time two goals behind in a poor showing to end 2018.
After the break, the visitors stayed compact and made life difficult for REMYCA as they chased the game.
Stafford said his side didn't look like winning the game, explaining, "You can't criticise a team in the lead - they sat back in the second half and said 'go and score three', and we didn't look like scoring three if I'm being honest."
What went wrong in the first half? The non-existent execution of REMYCA's style of play according to the gaffer, who added, "The first half was poor. With the wind, we wanted the lads to keep it down and play out from the back but they haven't listened."
"It's a really poor overall performance. A little bit of credit second half - we got it down and tried to play against the wind - but overall not good enough."
There were questions about the officiating by the squad and coaching staff, who weren't impressed with the referee's decision making on several occasions.
Stafford, who had vocally disagreed with the official more than once during the game, refused to lay any blame on the referee for his side's defeat, however.
"I don't want to blame the officials" he said. "We had the same questions at Burscough with one or two decisions - but it's football, isn't it?
"Sometimes you get them, sometimes you don't. It evens up at the end of the season.
"I do think the second goal is maybe his fault. We should have had a foul, he's let it play and they've gone and scored from it but that's not the reason we lost the game.
"We've lost this game because the lads just didn't perform if I'm honest."
Stafford and his team have over a week to prepare for their next game away to Barnoldswick Town on January 8th.
Updated 22:17 - 29 Dec 2018 by David Brindle