@SequenceGenerator(allocationSize=1, name = "My1_SEQUENCE", sequenceName = "MY1_SEQ")
@SequenceGenerator(name = "My2_SEQUENCE", sequenceName = "MY2_SEQ")

grep SEQ * | awk '{print $7}'

$ echo '@SequenceGenerator(allocationSize=1, name = "My1_SEQUENCE", sequenceName = "MY1_SEQ")
@SequenceGenerator(name = "My2_SEQUENCE", sequenceName = "MY2_SEQ")'
| egrep -o 'M.._SEQ(UENCE)?'
My1_SEQUENCE
MY1_SEQ
My2_SEQUENCE
MY2_SEQ

$ echo '@SequenceGenerator(allocationSize=1, name = "My1_SEQUENCE", sequenceName = "MY1_SEQ")
@SequenceGenerator(name = "My2_SEQUENCE", sequenceName = "MY2_SEQ")'
| egrep -o 'M.._SEQ'
MY1_SEQ
MY2_SEQ

$ echo '@SequenceGenerator(allocationSize=1, name = "My1_SEQUENCE", sequenceName = "MY1_SEQ")
@SequenceGenerator(name = "My2_SEQUENCE", sequenceName = "MY2_SEQ")'
| egrep -o '[^ "]+_SEQb'
MY1_SEQ
MY2_SEQ

grep -Po '(?<=sequenceName = ")[^"]*' filename

$ awk '{gsub(/[")]/,"",$NF);print $NF}' file
MY1_SEQ
MY2_SEQ

ack 'MYd_SEQ.+' -w -o filename

awk  '{match($0, /MY.*_SEQ/,arr); print arr[0]}' input.txt

@SequenceGenerator(allocationSize=1, name = "My1_SEQUENCE", sequenceName = "MY1_SEQ")
@SequenceGenerator(name = "My2_SEQUENCE", sequenceName = "MY2_SEQ")

MY1_SEQ
MY2_SEQ