Hah. Almost anything is a more effective banishing ritual than the LBRP, because it was never meant to be an external banishing ritual in the first place. It’s an internal purification ritual to refine the quality of the elements inside you and quicken your elemental initiations.
As for real banishing, that depends entirely on WHAT you’re banishing. For a lot of things, smoke cleansing your space with frankincense or Rosemary can drive away a lot of bad juju and lesser spirits. With windows/doors open, so it can actually leave. Otherwise the energy/spirit just runs in a circle or hides until the smoke fades away.
There’s also traditional use of bells and all kinds of other things. There’s old folklore of European peoples letting fae or other spirits live with them in winter, then going through the house in spring banging pots and pans and banishing them cause it’s time for them to go back outside and do fae shit. That’s part of where “spring cleaning” comes from.
But of course, little things like that often have little effect on the dead, or most other daimons and gods, unless the spirit just decides to respect your wishes and back off on their own.
Those things require more work. Specific incenses, bigger ritual work more akin to exorcism than an LBRP (the Stele of Jeu from PGM would work), and other such things.
Also remember that it’s not just about getting things out, but keeping things out.
Banishing, Cleansing, and Warding are all separate skills. And you have to do all three of them. Doesn’t matter how, as long as you do it some correct way according to whatever valid tradition you practice, but you gotta do all three of them. And if you do them well, you won’t have to banish at all unless you’re literally doing an exorcism to drive out a big fucker.
My entire home is warded, and both my bedroom and my ritual room have extra layers of wards.
All I have to do is clean sometimes, same as how I have to physically clean sometimes.