"Drink two cups of tea" can be expressed as "have two cups of tea" in Engpsh.
The expression comes from the basic Engpsh vocabulary used for food and beverage consumption. It's a common way to express the act of drinking tea in Engpsh-speaking countries.
Examples:
Can I offer you two cups of tea?
(我可以给你倒两杯茶吗？)
I think I'll have two cups of tea to start my day.
(我想我会喝两杯茶来开始我的一天。)
Would you pke to join me for two cups of tea?
(你想和我一起喝两杯茶吗？)