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The men were beaten 5-2 by Leeds seconds on their return to Wharfedale.
A lacklustre performance proved costly under the floodlights.
Despite falling behind, Rhydding went into half-time level after Carrick Matthews cancelled out the visitors' opener.
However, the third quarter proved decisive as a fit Leeds side scored three quick-fire goals, including one from former Rhydding player Tom Kendall.
Matthews grabbed his second late on to offer hope of a comeback.
Leeds responded with a breakaway goal to secure all three points.
Former Rhydding player Luke Burton also impressed in the visitors' defence.
The women suffered a 3-1 defeat away to Beeston.
Two goals in quick succession midway through the second quarter put the hosts in control.
Rachel Doherty pulled one back before half-time.
Despite Beeston receiving four yellow cards in the second half, Rhydding could not capitalise.
The hosts eventually added a third.
The men host Doncaster seconds on Saturday (3pm), while the women travel to Gloucester for a 1.30pm start.