Hihi! Don't worry, you're not bothering at all, I'm happy to help with your question :D

I think the simple backgrounds you're referring to are these one related with motion graphics! I actually take great inspiration from this style 

One of the attractive elements of motion graphics is to incorporate geometric shapes and patterns, which can add visual interest without being too complex or distracting. Another technique is to use color gradients or simple textures to create depth and dimensionality in the background

As for drawing Asian temples or buildings, it can be helpful to research specific architectural styles and motifs that are common in the region. This can include things like curved roofs, symmetry, intricate details, tiles or different types of lattice work

By focusing on these elements and breaking down the design into basic shapes, you can create a simplified and effective background!