How to prevent side lane waves from slow pushing away at bad times?

Title. How do you make sure that the wave only slow pushes away from you when an objective is about to spawn or when an important team fight is about to break out so you can take towers when you win and at worst when you die, the wave comes back to your tower by the time you respawn so you can farm it? So you're not forced to group mid to farm because of a bad wave position in the side lanes?

Happened to me way too many times in my games where I clear entire waves but I can't push all the way through to the enemy tower without over extending. Or let's say the wave is in a neutral state, two waves meet at the river, I spam abilities on it and kill everything to set up a hard push but accidentally set up the slow push. When I just clear what's there under near or my tower and rotate to my team. How do you manage the wave to prevent this from happening in mid game or late game?

I play mid lane by the way so I'd prefer tips for mage and assassin champions on it