From what I've heard Yoshis don't like to use their shield because of bad OOS options. Knowing this what I as a ROB would do is try and take advantage by landing the gyro so it knocks you after your standing dodge completes. Since shielding stops the gyro from stayin on the stage, lack of shielding means you're always dealing with a gyro, and good work with that thing can rack up impressive damage.
Problem: most Yoshi account for this, and will anticipating bring the Gyro the equation. If they grab your Gyro (which I do... a LOT), you're put in a bad position. You're also not taking into account Yoshi mobility. Chances are I'm not going to shield OR dodge the Gyro, because there's really only a few situations in which it's realistic for R.O.B. to shoot it out.
He can do it all the time, but there's only certain times in which he's apt to.
If the yoshi starts to use shield to cancel the gyro I'd glide toss and follow up with a dgrab>usmash probably. I just see ROB controlling the ground very well in this match
Second problem: Yoshi's pivot grab. As good as R.O.B. ground game is (especially his tilts), you're going to get hit with this. Like, not "If this happens, you might get hit with it," no, I mean you WILL get pivot grabbed at least a few times during the match. When that happens, Yoshi has a back throw or forward throw against R.O.B. that puts him at just the right angle to juggle him and/or pummel him with eggs like no one's business. The Laser and the Gyro will not help R.O.B. at this angle (downward laser is beaten by forward ETS like no one's business and he has to fall a distance to have the Gyro protect him), and meanwhile R.O.B.'s in his worst positioning.
Neither one of them is 100% helpless in any part of this match, so I have no hesitation making this dead even.