Errors:  

- the before large quantities

- are produced (should be 'is')

Corrected version:

In today's modern world, some people believe that a large quantity of waste is produced by ordinary households.

Improved version:

In the contemporary era, it is widely acknowledged that significant amounts of waste originate from everyday domestic activities.

Errors:  

- short term, and long term (unnecessary comma and missing hyphenation)

Corrected version:

I will discuss the problems caused by household waste as well as some short-term and long-term solutions for these issues.

Improved version:

This essay will examine the multifaceted problems associated with household waste and propose a range of short-term and long-term solutions to address them.

Errors:  

- immediate littering, (unnecessary comma)

Corrected version:

The primary problem is immediate littering and pollution in local areas.

Improved version:

The foremost issue is the instantaneous littering and subsequent pollution within local environments.

Errors:  

- Field for crops, (should be 'fields')

- leading (should be 'leads')

Corrected version:

Accumulation of waste in fields, oceans, and natural habitats leads to widespread pollution.

Improved version:

The accumulation of refuse in agricultural fields, bodies of water, and natural ecosystems results in extensive environmental degradation.