YOU SAID:
I have a feeling that they are not going on this Sunday
INTO JAPANESE
私は彼らがこの日曜日に行っていないと感じています
BACK INTO ENGLISH
I feel they didn't go this Sunday
INTO JAPANESE
私は彼らがこの日曜日に行かなかったと感じます
BACK INTO ENGLISH
I feel they didn't go this Sunday
That didn't even make that much sense in English.