The knee jerk response is 0.1 M TEAA. You may get a better baseline if you also make the acetonitrile solvent 0.1 M TEAA, but you'll have to see. You make also get away with as little as half, or a quarter that concentration of TEAA, especially if its in both eluent A and B. Very low concentrations may be necessary, if you have to switch to LC-MS for any reason. In fact, some people forbid the use of TEAA in a mass spec, its hard to get out. Likewise, once you've used it on a column, it can't be easily washed out, and the column will always have a different separation profile.
I'm guessing you're using a typical silica-based C-18 bonded phase column to do reverse phase HPLC. The charged molecule is interacting with exposed silanol groups, while the alkyl chain is interacting with the bonded C18 phase. The two separation modes fight for the same molecule, so the peak widens, and tails. There are newer column media types, that have embedded polar groups in the C-18 chain and embedded non-polar groups in the media, that may minimize the effect, without needing ion-pair reagent.