Ok, i am in a mood to make a Baton Pass team. Here we go!

Ninjask (M) @ Focus Sash
Trait: Speed Boost
EVs: 252 Atk/ 252 SpD/ 4 HP
Jolly Nature (+SpD,-SAtk)
- Swords Dance
- Protect
- X-Scissor
- Baton Pass
Ninjask is a must-have in Baton Pass teams because of it's Ability, Speed Boost. Swords Dance is for boosting Attack to pass it on later and Protect is for not fainting while spamming Swords Dance. X-Scissor is for STAB and is pretty good Bug type attack, to use only in Emergencies, unless you want to take down the opponent with a Swords Dance boosted X-Scissor. Baton Pass is the theme of this team so.... Yeah.

Mew @ Leftovers
Trait: Synchronize
EVs: 240 Def/ 228 SDef/ 16 SpD/ 14 HP
Modest Nature (+SAtk,-Atk)
- Nasty Plot
- Hypnosis
- Psychic
- Baton Pass
This is a Moveset for a Special Baton Pass Mew. Nasty Plot is for boosting Special Attack. Hypnosis is for making foes Sleep so they can be easier to KO. Psychic is for STAB and could be pumped up with Nasty Plot. Baton Pass will always be here.

Gorebyss @ White Herb
Trait: Swift Swim
EVs: 252 SAtk/ 252 SpD/ 4Def
Timid Nature (+SpD,-Atk)
- Shell Smash
- Surf
- Ice Beam
- Baton Pass
Originally, this was a risky Moveset but White Herb fixes it all. Use Shell Smash to sharply raise Gorebyss's Special Attack, Attack and Speed. This move also lowers both Defenses. With White Herb, this stat lowering is restored, keeping the Defenses at a reasonable level. Surf is for reliable STAB and hits hard after being pretty nicely boosted. Ice Beam hits Grass types, who are super-effective on Gorebyss. Baton Pass is to pass that nice Shell Smash boost to the next guy.

Umbreon (M) @ Leftovers
Trait: Synchronize
EVs: 252 HP/ 252 Def/ 4 Atk
Adamant Nature (+Atk,-SAtk)
- Wish
- Toxic
- Sucker Punch
- Baton Pass
Umbreon is my favorite Eeveelution and i got a Baton Pass moveset for him here. Wish is Baton Passable so the next Pokemon that you Baton Pass will get healed. Toxic is for poisoning to kill the foe more easily. Sucker Punch is for STAB and is for lowering some health and Baton Pass is for passing all these stuff.

Mienshao @ Life Orb
Trait: Regenerator
EVs: 252 Atk/ 252 SpD/ 4 HP
Jolly Nature (+SpD,-SAtk)
- Hi Jump Kick
- Stone Edge
- Work Up
- Baton Pass
I had to take Mienshao in my team to cover my weaknesses because i needed a Baton Passer that could learn Stone Edge and this Pokemon is a good choice. Hi Jump Kick is for STAB and Stone Edge is for Coverage again Flying types and other types like Bug types that my team is weak against. Work Up is for raising Attack and Special Attack to pass it on with Baton Pass.

Gliscor (M) @ Toxic Orb
Trait: Poison Heal
EVs: 252 Atk/ 252 SpD/ 4 Def
Jolly Nature (+SpD,-SAtk)
- Earthquake
- Stone Edge
- Swords Dance
- Baton Pass
Gliscor.... It is weird that he can Baton Pass. If he has Poison Heal, Toxic Orb is a must-have. Earthquake is for STAB and Stone Edge is for Coverage against Ice types. Swords Dance is for boosting Attack for passing it on later.
That is it! This is my first Baton Pass team so there could be stuff to improve. If possible, do not change the Pokemon of this team. You can do it only if it's really necessary. Thank you in advance!