How much water comes out of those drains during a major rain event? If not buckets, you can lay a narrow border (12") of river rock along the wall as a splash guard (like many do with gutterless eaves) and then create a planting bed in front to soften the wall, Make it deep enough to accommodate some layering (5-6' or more) rather than just a single line of plants

Thank you for the comments. Could you elaborate " create a planting bed in front to soften the wall", please ? Sorry I am a bit beginner in gardening and still learning.

Remove the sod in front of the wall to the width I suggested, improve the soil if necessary, then plant whatever you like and works where you live (we have no idea of that), making sure that you do not completely obscure the wall. It is well done and an attractive feature.

Perfect! Thank you @gardengal48, @ocotillaks and @gn-builders-llc!

I have a similar situation with water draining to the back of my yard. Depending on how quickly water drains from that area, you may need to use plants that can tolerate very wet soil for a few days. After getting several days of rain some of the more drought tolerant plants that I had rotted from staying wet too long.

In terms of what plants to put there, try searching for rain garden plant lists for your area. A rain garden is usually a depression in the ground which is meant to fill with water during a storm and slowly drain, so rain garden plants generally need to be able to tolerate dry periods and wet periods, which I think would be similar to the conditions by your wall. Here's a general guide from Texas A&M: https://rainwaterharvesting.tamu.edu/files/2011/05/Rain-Garden-Plant-List-11-02-09.pdf

@here2learn My average rainfall precipitation per month is less than 5, here in North Dallas (It does not rain as much as South Texas) . Do you still think rain garden is needed?

I seriously doubt this is a rain garden situation. Unless you have deluges that delivery a large quantity of rainwater very rapidly, I doubt the drain holes are releasing very much water at any given time. The "splash strip" and regular plantings should be able to handle the situation.

It certainly depends on how much is draining through those holes, you would have the best idea of how wet or dry the area is. If the area is dry though, the rain garden plant list does have many plants that prefer dry conditions, so it may still be helpful to you!

Go with plants you like that are generally thriving in your area. You can always replace if they don't work. Gardens aren't set in concrete. They evolve continually.

Recommend the border designs in Home Landscaping Texas as good sources for some starting ideas - especially since used copies of early editions (~20 designs) can be ordered from several places for less than $5 delivered. It's co-authored by Greg Grant, a respected Texas horticulturist.

thank you @here2learn-z8 it was raining a couple days ago and there wasn't a lot of water flowing out through the drain pipe. It wasn't a heavy rain though. But the rain garden list contains some beautiful plants and worth to have in a garden.

thank you @bostedo! I ordered one :)

I don't think it has been mentioned so I will say do not place plants close to the wall. Plant them at least fifteen inches out. I plant mine about three feet out because I like to have room to walk behind them if necessary.

Regarding choosing plants, a lot has to do with privacy or ugly views you may want to block out. We cannot see above the fence. Are their neighbors windows or such you would like to block out? Those would be the locations for small trees or taller growing shrubs.