The 114 is used by TP filing their own return. The 114A is used when you are filing for someone else.

From IRS: "If you want someone to file your FBAR on your behalf, use FinCEN Report 114a, Record of Authorization to Electronically File FBARs, to authorize that person to do so. You don’t submit FinCEN Report 114a when filing the FBAR; just keep it for your records and make it available to FinCEN or IRS upon request."

Link to IRS instructions. https://www.irs.gov/businesses/small-businesses-self-employed/report-of-foreign-bank-and-financial-a...