Originally Posted by mrfuji3
Originally Posted by GM4Him
Hold up. This is how Shove is supposed to work:

Using the Attack action, you can make a Special melee Attack to shove a creature, either to knock it prone or push it away from you.

Note: If you’re able to make multiple attacks with the Attack action, this Attack replaces ONE of them.

So it doesn't matter how many Actions you get, you can only Shove once per round.
Originally Posted by GM4Him
When you want to grab a creature or wrestle with it, you can use the Attack action to make a Special melee Attack, a grapple. If you’re able to make multiple attacks with the Attack action, this Attack replaces one of them.

So, again, only once per round and it is an Attack Action, not a Bonus (but Larian is already doing that, so at least that's good).
You are incorrect in both cases. Shove and Grapple replace ONE of your attacks, and they are not capital-A "Attack Actions." They are attack-equivalent actions, which is a separate thing.

When you take the Attack Action, you are allowed to make X attacks depending on your class abilities. E.g., a level 5 fighter can take 2 attacks with a single Attack Action due to their Extra Attack ability. Each of these lower-case-a attacks can be replaced with a shove or grapple attempt. So a level 5 fighter can make 2 attacks, one attack and one shove/grapple, or two shove/grapples.

If this fighter has an additional capital-A Action (Action Surge), they can again take the Attack Action, which will give them another 2 attacks in this case for a total of 4. A level 4 fighter, however, only gets one attack for every Attack Action, so if they had 2 Actions they could only make 2 attacks/shoves/grapples.

tl;dr: According to 5e RAW, you can make as many shove/grapple attempts as the # of attacks you have. It is not limited to 1x per round.

OK. Had to do more research on that one. I found several sights that said what I did, but apparently Jeremy Crawford said something else to clarify the issue.

Yeah, that wasn't worded particularly clear. See, I and others took it to mean, "If you’re able to make multiple attacks with the Attack action, this Attack replaces ONE of them," meaning only one of your attacks during your Attack Action can be a Shove/Grapple. Not that you could replace ALL of them if you want with Shove/Grapple. So, if you have 3 attacks total per Attack Action because you have Extra Attack, you can shove 3 times. I have not been playing it that way, but I guess it makes sense. If you can swing a sword 3 times, why not shove someone 3 times?

That makes the need to limit shove range and throw range even more important. If at later levels I can throw 3 or more - or shove 3 or more - enemies 30 feet or more in the same turn, off cliffs or ledges into lava or down hundreds of feet to their deaths, that is going to make Shove/Throw even more ridiculous. Yeah. That's REALLY bad game design. As it is, someone with 3 Attacks per Action can shove someone 15 feet if they succeed in pushing them back 5 feet per attack. BUT, at least that makes sense. You become a tough enough fighter and you too can shove someone 15 feet in 6 seconds.