I understand most aedra and daedra are on unfriendly terms, to put it lightly lol, but I was wondering... Are there any instances in the lore of a daedra harboring a specific grudge or hatred towards an aedra? or vice versa?
The Aedra and Daedra don't actually hate each other. The Daedra find Mundus interesting and attempt to take it over, the Aedra just fight back through the use of empowered servants to push them back. The Daedra also see the Aedra as reckless fools mostly for giving up their power and immortality to create Mundus.
the deadra consider the adrea as dead, they rearly come even think about them, and laugh at the followers of them. remember the adrea were once deadra untill the shuffled off their phisical form, "in some bizarre suicied cult"
There are more instances of connections between Aedra and Daedra than there are instances of clear mutual hostility. Peryite and Akatosh apparently are connected somehow, probably because Peryite really is a dragon rather than just pretending to be one as some people seem to think. Oddly, the followers of Stendarr and Boethiah sometimes work together, probably because they have a mutual enemy in Molag Bal.
Speaking of Molag Bal, the one instance of clear mutual hostility I can think of is the antagonism between Molag Bal and Arkay. Supposedly, Molag Bal created the first vampire specifically to spite Arkay and mess with the mortal cycle of life and death. Also pro-Stendarr groups such as the Vigilants of Stendarr consider werebeasts, witches, vampires, and the undead to be "the four abominations" so they exterminate them without mercy (whether Stendarr really thinks they should or not isn't known).
Much more common are rivalries among the Daedra. Daedric politics is infamously convoluted, especially to mortals. For example, Azura and Molag Bal have been reported to be "allies", even though they are almost perfect opposites. I think this is definitely a case of "the enemy of my enemy is my friend" and they hate everything the other stands for. But being opposites probably gives them an advantage in being able to understand one another, which probably means that they have a hard time deceiving each other too and therefore make good "allies" against mutual fiends. Makes sense in god-logic, but again seems convoluted to us mortals.