Exeter moved up to fifth in the Premiership table with Baxter saying afterwards: "When you get the three tries and you have a little bit of breathing space you are always a little disappointed not to get that fourth try.
"Obviously with five minutes to go and 10 points up there is an opportunity - as you are unlikely to lose the game so you can give it a real crack.
"Unfortunately, how we went about it probably wasn't quite accurate enough.
"But to get three tries and be relatively comfortable for that last third of the game, considering how it was to and fro in the first half, I was really pleased.
"I'm massively pleased with the character of the players to come back from some of the hammer-blows - particularly the soft try, which was probably from a knock-on and a forward pass.
"Sometimes you see players in other teams looking at the big screens and think they have been hard done by and they fall apart for 10 minutes.
"But we went straight down the other end of the pitch and scored a try to even things up and that, ultimately was the making of the game for us.
"We just got on with it which is a great characteristic to have."
The Sandy Park crowd had the advantage of seeing that Wasps second try came from a forward pass but Baxter does not blame the match officials for allowing it to stand, accepting that some games do not benefit from a TMO.
Baxter's opposite number Dai Young feels all or no Premiership matches should have a TMO - otherwise it is not a level playing fields for the clubs.
Young said: "It makes sense to me [for all games to have a TMO] because there are such fine margins.
"If you look at the table there are more tight games in the Premiership than in any other league.
"One score is the difference between winning or losing so if you are going to have it [TMO] then you have to have it in every game. I think it is a good thing though not a fan of taking it back three or four plays."
Young added: "I thought we were lucky to come away with a losing bonus point.
"Certainly in the first half we were in the game but in the second half we never had any control, never had any ball, which didn't allow us to put any pressure on.
"For most of the second half we were scrambling and defending our line. Obviously the big decisive factor was our two yellow cards, no complaints from me they were yellow cards, but we had 17 points scored when we were down to 14 men.
"I don't think that we play outstanding well at home and then really poor away. We are still nowhere near playing as well as we can.
"We show real patches, we did last week against Leicester, but I still felt we had to play better to come here and win."
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