Short answer
There is no universal Islamic rule requiring the bride's family to bear the entire wedding cost.
Islamic Guidance
What Islam teaches
Financial responsibilities in marriage should not be confused with cultural expectations. Voluntary family contributions are different from compulsory demands.
Practical Guidance
What you can consider
Discuss expenses transparently and avoid turning cultural expectations into financial demands. The couple's long-term financial stability should matter more than the wedding display.
Sources
Qur'an 2:188; Qur'an 4:4.