Yes, some people are going to pay more in taxes than they get in UBI. But with UBI you raise the bottom level of income in society so that everyone is able to live. Then people can supplement UBI by working an amount which fits them. Nobody has to work 60 hours a week just to be able to live. And you should also have tax thresholds set so that people don’t pay as much in income tax as they get in UBI as soon as they start working - more/better paid work should always make you better off.

In the end yes the rich will have to pay more towards it because UBI is inherently a form of wealth redistribution.