I am a Filipina living in Northern Ireland (UK) and have a 'Residence card of a family member of a union citizen'.
No you don't need a transit visa. Courtesy of KLM:
/ 14NOV16 / 2132 UTC
National Philippines (PH) /Residence United Kingdom (GB)
Embarkation United Kingdom (GB) /Transit Ireland (Rep.) (IE)
Destination Philippines (PH)
ALSO CHECK DESTINATION INFORMATION BELOW
Ireland (Rep.) (IE)
Visa required, except for Passengers with a "Family Member" Residence Card issued by United Kingdom to a family member of an EEA national or national of Switzerland.
TWOV (Transit Without Visa): Visa required, except for Holders of onward tickets for a max. transit time of 24 hours.
Additional Information: - Visitors holding passports containing a British inadmissible stamp could be refused entry.