I'm not a cafe person and only use them if its a checkpoint so I have never been in this one but my club occasionally frequents it.
In between Hessle and Malton section, there is a cafe at Huggate, "Rachels Cafe", just on the left up a little drive as you are about to leave the village, before you go round the left hand bend with a little climb. There is a sign on the roadside, it might be also advisable if you plan on using it, to dismount before going up the drive, its a steep little drive and with not much speed as you turn up it, you could fall off. It only opened I think about 3 years ago after the last LEL
Its very cycling friendly and gets good reviews, it opens at 11:00 and closes at 16:00 and closed on a Wednesday.
As this is on my patch, after Cherry Burton, where there is a "Costcutter" about 100 yards off route to the right down the hill at the cross roads and before the duck pond, opens at 07:00 till 21:00 there is nothing till you get to Norton/Malton, 26 miles, apart from "Rachels Cafe" and also the village pub as well in Huggate which you pass on the right before the cafe and also a pub at North Dalton next to the duckpond. Huggate to Malton is only 14 miles further on.
The shop/cafe in Thixendale is now closed. But, I think the village hall which is opposite the closed shop still does cake and tea during the day, but now sure what days
https://www.tripadvisor.co.uk/Restaurant_Review-g1913623-d15238490-Reviews-Rachel_s_Walnut_Cottage_Tea_Room-Huggate_Driffield_East_Riding_of_Yorkshire_Eng.html