Here is a possible 2-day itinerary for your trip from Lucknow to Ayodhya:

Day 1:

Start your day early by taking a cab or bus from Lucknow to Ayodhya. The journey takes about 2-3 hours.
Upon arrival in Ayodhya, check in to your hotel and freshen up.
In the afternoon, visit the Ram Janma bhoomi, the holy site where Lord Rama is believed to have been born. Participate in a puja and seek blessings.
Next, head to the Hanuman Garhi, a fort-like temple dedicated to Lord Hanuman. Climb the 70 steps to the top for panoramic views of the city.
In the evening, attend the aarti ceremony at the Saryu River, a mesmerising sight with hundreds of lamps illuminating the riverbank.

Day 2:

In the morning, visit the Kanak Bhavan, a magnificent palace adorned with intricate carvings and sculptures.
Next, visit the Nageshwarnath Temple, an ancient temple dedicated to Lord Shiva.
In the afternoon, you can explore the local markets or visit any other temples that interest you.
In the evening, take a cab or bus back to Lucknow.

Here are some additional tips for your trip:

The best time to visit Ayodhya is during the winter months (October to March), when the weather is pleasant.
If you are planning to travel during peak season (Dussehra or Diwali), it is advisable to book your accommodation and transportation in advance.
Dress modestly, especially when visiting temples.
Be respectful of local customs and traditions.
Carry bottled water and snacks, as the weather can get hot during the day.
Photography is not allowed inside some temples. Be sure to check before taking any pictures.

I hope this helps!

https://srjbtkshetra.org/