You can say lots of things in a pub. Bartenders are pretty good at figuring out that you'd like more to drink.
But "repeat me a beer" isn't the normal way to ask for another glass.
"Another beer, please?"
"Could I have one more, please?"
"Can I get another, please?"
"More beer, please?"
and the least formal way that I can think of is "Beer me, please" (that breaks rules of standard English. But it isn't uncommon. And bartenders understand it.)
Also, say "please" when you make the request and "thank you," when your beer is served. (And if you're in the US, tip!)