Must one repeat ablution and prayer as a make-up for past obligations if one suffered from intermittent flatulence and performed ablution and prayer despite the presence of gases and flatulence due to lack of time and fatigue that prevented purification?

If you are asking about the validity of ablution (wudu') and prayer (salat) without performing istinja (definition)' (ritual cleansing) after passing wind, then both the ablution and the prayer are valid. This is because istinja' after passing wind is not obligatory; rather, it is a reprehensible innovation (bid'ah makruhah), and it may even be forbidden according to some scholars.