
Looking closely at the Backyardigans' houses, you can see that there are fences around Tasha's backyard and Austin's backyard. Pablo, Uniqua and Tyrone, however, live next to each other, with no fences separating the backyards. This area then becomes a sort of mega-backyard, an effect heightened by the unusual depth of the yard. In fact we can see the back fence is almost at the back door of the barely seen house behind the play area.
Austin, as we saw in the "Castaways" episode, goes into the main play area from his backyard through a gate in the fence. Tasha doesn't appear to have a direct route from her backyard to the main play area. Instead, she's more than once been shown to enter the play area from the front yard ("Key to the Nile", "Viking Voyage").
Could this be one of the reasons why we have seen so many episodes with Pablo, Uniqua and Tyrone, and fewer with Tasha and Austin? After all, if you can just walk into your backyard and start playing with the kid next door, you're going to be playing together a lot, if only because he's there every time you go outside. If you have to go around a high fence to get to the house of the kid next door, though, you're going to have days when you just play in your own backyard and never see them.
Interestingly, all the kids seem to feel equally comfortable playing in the common backyard, even though the play area technically belongs to Pablo, Uniqua and Tyrone. In "Cave Party", for instance, we see Austin and Tasha enter the play area with a clear lack of intent to play with the other three kids. Their decision to invite the other three to a party is an afterthought. In "High Tea", Tasha is sitting quite contentedly on Uniqua's picnic table, ignoring the other three, showing every sign of feeling as at-home as if she was in her own backyard.
It seems as if the common backyard shared by Uniqua, Pablo and Tyrone functions more as a sort of park for the five children than as a conventional private backyard. Tyrone, Pablo and Uniqua are seen there more than Austin and Tasha only because it is the only backyard easily available to them. Tasha's backyard and Austin's backyard are, because of the fences, typical backyards, where the children probably only play when invited by Tasha and Austin. It is worth noting, too, that while we see evidence of the kids playing in Austin's backyard occasionally, to which there is access through the gate ("Cave Party"), we never have seen any indication that they have been playing in Tasha's backyard, to which there is no such easy access.
So, is there any great conspiracy involved in leaving Tasha and Austin out of so many episodes? Not at all. It is simply that those two Backyardigans have two backyards available to them, while the other three only have the one common play area.
(And does this topic really deserve this much attention? Of course not! But it's fun, isn't it?)