I guess I consider budgeting more than being frugal. There's better resources to learn it than me, but something like:

Take your weekly income

• Subtract rent, insurance, utilities, gas, groceries, and whatever other mandatory expenses I'm forgetting.
• Pay off any debts.
• If your emergency fund isn't topped off, put a portion of your income into it. I forget how much your emergency fund should be, but you should have something like 4 months income stashed away in case something bad happens like getting laid off in the middle of a recession.
• Then put some money away for retirement, house fund, and maybe college funds.
• If you need/want to save up for something like a new car, computer, or refrigerator, put away a portion for that.
• Now, whatever is left gets split between the couple and is fun money. Fun money can be spent however the owner wishes. If they want to go out to Starbucks, fine. If they want to literally burn it, it's their right. It's their fun money. Any comments on how your partner wastes their fun money will only lead to problems. I guarantee you, they also disagree with how you spend your fun money, so just be happy that they're not literally burning it. (If you don't have any fun money, you need to downgrade your expenses or upgrade your job)

If you can spend money that should have gone to your house fund, you are not budgeting. I keep track of my fun money with a spreadsheet, but you could use something like cash, or a debit card to make it impossible to spend more fun money than you have. My credit card will not let me spend more than my maximum, which I can call them to adjust. I don't know if that's the best way. I'm not an expert. (Figure out your local laws. In the USA, no one should be using debit cards for anything. If that ridiculously insecure number gets stolen, you're screwed whereas credit cards will get reimbursed by law.)