Fake my CTC at a job interview and got the job

I faked my CTC at a job interview. Also, I said I’m employed at an organisation that that is partly by me. My reason to do a job now is that my work online is not picking up. Got the offer letter. The offer letter requires me to give a waiver to let the company do a background check on me. Will the company find out??? Ps it’s a small budding company